ABHILESH PURI GOSWAMI   10 years AGO

if 3 women = 2 men
21 women = 14 men
use m1d1t1 = m2d2 t2
15*21*18=x*6*14
x= 30
ans option 4

Like? Yes (39) | No (8)  

Kushagra Tiwari   10 years AGO

15 * 21 * 8 = 2520 man hrs
:
2 man-hrs = 3 women-hrs
therefore
1 women-hr = 2/3 man-hr
:
let d = no. days for these women to do the job
21 * 2/3 * 6d = 2520
84d = 2520
d = 30 days

Like? Yes (34) | No (7)  

Emanuel Abhishek Murmu   10 years AGO

15 men's 1 hour work =1/(21*8)= 1/168
1 man's 1 hour work= 1/(168*15)
2 men's 1 hour work= 2/(168*15)
3 women's 1 hour work= 2/(168*15)
1 woman's 1 hour work= 2/(168*15*3)
21 women's 6 hour work= (2*6*21)/(168*15*3)= 1/30.
therefore 21 women work for 30 days at 6 hours per day to complete the work

Like? Yes (15) | No (1)  

RAKESH   10 years AGO

15*21*8 = 21*2/3 * 6 * d

=> d = 30

Like? Yes (9) | No (2)  

vivek prakash   10 years AGO

3w=2m
w=2/3m
15*21*8M=x*6*21w
15*21*8m=x*6*21*(3/2)m
x=30

Like? Yes (10) | No (3)  

siddhartha sadhu   10 years AGO

15 MEN =21 days =8 hrs
14 men = ? days =6 hrs
14:15
6:8
x=(15*21*8)/(14*6)
x=30 days

Like? Yes (7) | No (1)  

Sundar Kumar   10 years AGO

15 men take 21 days of 8 hours each to do a piece of work.
i.e 15M->21*8=168hrs
now,
3 women do as much work as 2 men
i.e 3WOMEN=2MEN
take a pair of 3 women in total no. of women i.e 21/3=7
each 3 women=2 men
7*2=14 men
now
1514=x/168
i.e no. of hrs is inversely propositional to no. of workers
therefore x=(168*15)/14=180
180 hrs is total no. of hrs that women work
now they work only 6hrs per day
therefore 180/6=30
Answer Option 4) 30days

Like? Yes (4) | No (2)  

NAVEEN KUMAR   10 years AGO

3 women=2 men
21 women=14 men
hence no. of days=915*21*8)/(14*6)=30 option(4)

Like? Yes (4) | No (2)  

Shreya Tiwari   10 years AGO

15 * 21 * 8 = 2520 man hrs
:
2 man-hrs = 3 women-hrs
therefore
1 women-hr = 2/3 man-hr
:
let d = no. days for these women to do the job
21 * 2/3 * 6d = 2520
84d = 2520
d = 30 days

Like? Yes (3) | No (1)  

Abhishek Vishwakarma   10 years AGO

15 * 21 * 8 = 2520 man hrs
:
2 man-hrs = 3 women-hrs
therefore
1 women-hr = 2/3 man-hr
:
let d = no. days for these women to do the job
21 * 2/3 * 6d = 2520
84d = 2520
d = 30 days

Like? Yes (2) | No   

Surit Datta   10 years AGO

according to the question 3 women = 2 men
so 21 women = 14 men
15 men take 21 days of 8 hours to do a piece of work
then 14 men in 6 hours required 30 days.
That's it..

Like? Yes (4) | No (2)  

Arijit Acharyya   10 years AGO

15 men do a piece of work in 21*8 hours
1 man do 1/15*21*8 th of work per day
2 men do 2/15*21*8 th work per day
3 women do as much work as 2 men
so, 3 women do 2/15*21*8 th of work per day
1 woman do 2/3*15*21*8 th of work per day
21 women by working 6 hours each day complete the work in
1/(21*6*2/3*15*21*8)=30 days.
option 4)

Like? Yes (2) | No   

Chirag Ranjan Lahiri   10 years AGO

No. of man hours to complete the job = 15*21*8 = 2520
Now 2 man hr = 3 women hr
So 1 women hr = 2/3 man hr

So we can write, 21*2/3*6d=2520
d = 30 days.......

Like? Yes (2) | No   

Anurag Dwivedi   10 years AGO

15 Men will complete the task in (21*8) Hr-day
2 Men will complete the task in (21*8*(15/2)) Hr-day
Similarly, Suppose 21 women will complete the task in X days working 6 hrs per day
So,
21 women will Complete the task in (X*6) Hr-day
3 Women will complete the task in (X*6*(21/3)) Hr-day
From the question We know,
Working Efficiency of 3 Women = 2 Men
Put the Values in the Equation,
(21*8*(15/2)) = (X*6*(21/3))
X= 30 days

Like? Yes (2) | No   

shekhar suman   10 years AGO

15m*21*8=21w*D*6---(1)
and
3w=2m----(2)
so substituting the values from eq. 1to eq.2
we get
d=30

Like? Yes (2) | No   

Sravanthi   10 years AGO

15*21*8=D*6*14
Days=30
where 21women=14men.

Like? Yes (2) | No   

Narasapu Hari prasad   10 years AGO

ans is option 4
total work hours required by only one man=8*21*15=2520 hours
21 women equals=21*2/3=14 mens
so days required to 21 women working 6 hours=2520/14/6=30 days

Like? Yes (1) | No   

Gitanjali K   10 years AGO

30 days

Like? Yes (1) | No   

pawan kumar   10 years AGO

30 day

Like? Yes (2) | No (1)  

S.SHAFI   10 years AGO

first find the no. of man-hrs to complete the job
15 * 21 * 8 = 2520 man hrs

2 man-hrs = 3 women-hrs

therefore
1 women-hr = 2/3 man-hr

let d = no. days for these women to do the job
21 * 2/3 * 6d = 2520
84d = 2520
d = 30 days..

Like? Yes (1) | No   

BHASKAR MANDAL   10 years AGO

no. of men hrs = 15*21*8 = 2520 men hrs
2 men hrs = 3 women hrs
1 women hrs = 2/3 men hrs
let x be the no. of days, then
21*x*2/3*6 = 2520
=> x= 30
no. of days will be 30.
option 4

Like? Yes (1) | No   

Kunal Jaiswal   10 years AGO

Option 4. 30 days is the correct answer.

Like? Yes (1) | No   

Sudhir Dhruv   10 years AGO

21 women means 14 men
so days=21*(15/14)*(8/6)

Like? Yes (1) | No   

GAURAV KUMAR   10 years AGO

15*21*8=21*(2/3)*6*x
x=30

so this is the required ans.. so option 4 is correct.

Like? Yes (1) | No   

Md.Sultan Khichi   10 years AGO

3 women =2 men
So 21 women=2/3*21=14 men
Let 14 men takes x days to cmplt the work.
15 men can complete a work in 21 days so
14 men take more days to complete the work..so indirect ratio..x=21*15/14
Again they work for 6 hours so number of days is increses..here is also indirect ratio x=8/6
So x=21*15/14*8/6=30
And 30

Like? Yes (1) | No   

sandhya rani   10 years AGO

let the number of days =x
3 women's dp as much work as 2 men that means

3 womens work=2 mens work
so 21 womens work=14 mens works

15 men 21 days 8 hours piece of work=(15*21*8)
14 men x days 6 hours piece of work=(14*x*6)

(15*21*8)=(14*x*6)
by solving we get x+20

Like? Yes (1) | No   

shubham tyagi   10 years AGO

15 men=21*8=168 hrs
1man=168*15=2520 hrs
now 2 men work is equivalent to 3 women work so
1 women= 2520/2*3=3780 hrs
21 women=3780/21=180 hrs
180/6=30 days

Like? Yes (1) | No   

vartika    10 years AGO

one man working an hour a day willl take= 21*8*15 days to complete a work
so, according to question one woman working one hour a day will take = 21*8*15*3/2 days to complete that work
therefore 21 women working 6 hrs a day will take= 21*8*15*3/(21*6) =30 days to complete the work
so ans= 30 days

Like? Yes (1) | No   

sudipta maji   10 years AGO

1women=2/3men
21women=14 men
so the required day=(15*21*8)/(14*6)=30

Like? Yes (1) | No   

SURAJIT KUNDU   10 years AGO

(15*168)/(14*6)
= 30

Like? Yes (1) | No   

Sandeep mishra   10 years AGO

1 hour work of 1 man is =1/(15*21*8)
1 hour work of 2 men is =2/(15*21*8)
2 men work is equal to 3 women work so
1 hour work of 3 women is =2/(15*21*8)
1 hour work of 21 women is =2*7/(15*21*8)
6 hour work of 21 women is =2*7*6/(15*21*8) =1/30
so work will be complete in 30 days

Like? Yes (1) | No   

v pavan   10 years AGO

3women =2men
21women=14men
total workhour done by 15 men working 8 hour per day=15*8*21
let x be the number of days required by 21 women
total workhour done by 14 men working 6 hour per day=
14*x*6
equating above 2 we get x=30

Like? Yes (1) | No   

prabhat   10 years AGO

15*x =1/8*21 for man...............1
21*y =1/6*d for woman.............2
given 3*Y=2*X then
21*(2/3)*X=1/6*d
14*(1/8*21*15)=1/6*d
d=30 day

Like? Yes (1) | No   

Raj   10 years AGO

15men=(1/168)
21women=(1/6x)
(1/1260)=(1/42x)
so x=30

Like? Yes (1) | No   

pratik   10 years AGO

2 men =3 women implies 21 women =14 men
21*8*15=14*6*?
?=30 days.

Like? Yes (1) | No   

Akshay   10 years AGO

15m:21day:8hr
21w:?:6hr
3women=2men
15men=22.5 women
so,22.5*21*8/21*6=number of day
hence,number of day=30

Like? Yes (1) | No   

Ritika Shrivastava   10 years AGO

3women=2men
So 21women=14men
14:15
6:8
21:x
14*6*x=15*8*21=30days

Like? Yes (1) | No   

lakshmi nalluri   10 years AGO

3w=2m then 21w=14m
so,
15*21*8=14*d*6
d=30

Like? Yes (1) | No   

VIMALRAJ V   10 years AGO

15 * 21 * 8 = 2520 man hrs
:
2 man-hrs = 3 women-hrs
therefore
1 women-hr = 2/3 man-hr
:
let d = no. days for these women to do the job
21 * 2/3 * 6d = 2520
84d = 2520
d = 30 days

Like? Yes (1) | No   

harshit gupta   10 years AGO

15*x*21*8=100 .................1
21*(2/3*x)*y*6=100 .................2
where x is percentage of work done by man in one day and y is no. of days tequired
divide 1/2
we get y=30 days

Like? Yes (1) | No   

harshit gupta   10 years AGO

15*x*21*8=100 .................1
21*(2/3*x)*y*6=100 .................2
where x is percentage of work done by man in one day and y is no. of days tequired
divide 1/2
we get y=30 days

Like? Yes (1) | No   

Chandra chur anand   10 years AGO

15*21*8=(2/3)*21*x*6
x=30 days
ans

Like? Yes (1) | No   

Chirag Malik   10 years AGO

since 3 w =2 m
so 21 w = 14 m
now we have to calculate the days for which 14 men do same piece of work working 6 hours as done by 15 men in 21 days working 8 hours a day
So, (15/14)*(8/6)*21
And ans comes out to be 30

Like? Yes (1) | No   

sanjeev kumar   10 years AGO

Ans 30

Like? Yes (1) | No   

MRITUNJAY KUMAR   10 years AGO

Options 4)

Like? Yes (1) | No   

santosh kumar patel   10 years AGO

21 days of 8 hours=21*8=168
15 man do work=168
1 man 1 day do work=1/15*168
3 women = 2men
hence 21 women=14 men
so 21 women do work of 6 hours=14*6/15*168=30
ans:=30

Like? Yes (2) | No (1)  

ravi prakash   10 years AGO

x days=(15*21*8)/6*21*2/3
=30 days

Like? Yes (1) | No   

harika challagolla   10 years AGO

w:m=3:2
15men=45/2 women
by chain rule
21:45/2
6:8 ::21:x
x=30

Like? Yes (1) | No   

Tamal Chakraborty   10 years AGO

simple

Like? Yes (1) | No   

KADARI HARISH   10 years AGO

2 men= 3 women
so, 21 women= 14 men
15*21*8=14*x*6

Like? Yes (1) | No   

Leelanand Kumar Yalla   10 years AGO

30 Days....

Like? Yes (1) | No   

Rashi Bansal   10 years AGO

Time taken by one man = 15*21*8 hours
3 women = 2 man
so 1 woman = 2/3 man
21 women = 14 men
days required by 21 women = days required by 14 men= 15*21*8 /(6*21*14) = 30 days
which is option (4)

Like? Yes (1) | No   

RAVI RANJAN   10 years AGO

30

Like? Yes (1) | No   

sreelakshmi   10 years AGO

3*15*21*8=2*21*d*6
d=30 days

Like? Yes (1) | No   

vinit   10 years AGO

mens work=15*8*21=2520
now,womans work 21*2/3*6=84
hence=2520/84=30

Like? Yes (1) | No   

Sukanya   10 years AGO

day1*men1*hour1=day2*men2*hour2
15*21*8=x*14 (21women=14men)*6
x=30

Like? Yes (1) | No   

Koushik Bhadra   10 years AGO

3 women=2 men
so 21 women=14 men
15 men---8 hrs---21 days
1 men--- 1 hr---21*15*8 days
14 men---6 hrs--(21*15*8)/(14*6) days=30 days

Like? Yes (1) | No   

suman singh   10 years AGO

(15*8*21)/14*6 = 30

Like? Yes (1) | No   

jitendra   10 years AGO

because both are works same,
so
equating their work
and given that
3w=2m
then 21w=14 m
so
15*21*8=6*14*x
x=30

Like? Yes (1) | No   

RABI KR. SHAW   10 years AGO

3w=2m
w=2/3m
21w=14m
from mdh/w formula
15*21*8=14*d*6
d=30

Like? Yes (1) | No   

sujatha   10 years AGO

1 men 1 hour work =2/(168*15)
21 women 1 hour work=2*7/(168*15)=1/(180)
so 21 women take 30 days 6hours each to do a piece of work

Like? Yes (1) | No   

Souvik Datta   10 years AGO

Find the no. of man-hrs to complete the job
15 * 21 * 8 = 2520 man hrs
2 man-hrs = 3 women-hrs
therefore
1 women-hr = 2/3 man-hr
let x = no. days for these women to do the job
21 * 2/3 * 6x = 2520
84x = 2520
x = 30 days

they will take 30 days

Like? Yes (1) | No   

mounika kadudhuri   10 years AGO

3w=2m
15m×21×8=21w×6×d
Solving
d=30 days

Like? Yes (1) | No   

suganya.M   10 years AGO

3 women work =2 men work
21 women work =14 men work
15 men take 21 days each 8 hours to complete the work
15 men worked for 168 hours to complete the work
15 men 1 hour work is =1/168
1 men 1 hour work is is=1/(168*15)=1/2520
14 men 1 hour work=14/2520=7/1260
14 men 6 hour work is=(7*6)/1260=1/30
14 men complete the whole work in 30 days
21 women complete the whole work in 30 days

Like? Yes (1) | No   

PRANEETH   10 years AGO

15 men per day can do 1//21 * 1/8 work. then 1 man can do 1/21*1/8*1/15 per day.. then two men can do 2/21*1/8*1/15 so given that 3 women can do the same as 2 men.. so 1 women can do the work 2/21*1/8*1/15*1/3 they asked that how many days 21 women 6 hours per day can complete so (2*21)/21*(1/8)*(1/15)*(1/3) so it will become 1/30 * 1/6 so 30 days

Like? Yes (1) | No   

Nitesh Joshi   10 years AGO

3 women=2men
21 women=14 men
less men,more days {indirect proportion}
less time,more days{indirect proportion}

so no of days=15*8*21/14*6=30 days

Like? Yes (1) | No   

Sanchit Kapoor   10 years AGO

Number of hours put by man=15*21*8=2520
Since 3 women do as much work as 2 men thus number of hours taken by woman = 2/3 man hours
So 21*2/3*6*d=2520(d is the number of days taken by these women)
So d= 30
Hence option 4 is correct.

Like? Yes (1) | No   

ashu suman   10 years AGO

let no. of days is x
now, x=21*15/21*8/6*3/2
x=30

Like? Yes (1) | No   

ADARSH GAURAV   10 years AGO

30 is the answer.

Like? Yes (1) | No   

vipul   10 years AGO

15*21*8=14*6*x
15*3*4/6=x
x=30

Like? Yes (1) | No   

Devesh Gupta   10 years AGO

15men*21days*8hrs = (21/3 * 2)men*x days*6hrs
thus
x=(15*21*8)/(7*2*6)=30days

Like? Yes (1) | No   

rajeev chaubey   10 years AGO

m1*t1*d1=m2*t2*d2
3w=2m
21w=2*21/3=14m
15*21*8=14*6*d2
d2=30
30 days

Like? Yes (1) | No   

Ashu Ranjan   10 years AGO

Total no. of hours for 15 men=21*8=168 hrs
work done by 15 men in 1 hr=1/168
work done by 2 men in 1 hr=2/(168*15)= work done by 3 women in 1 hr.

so work done by 21 women in 1 hr=(7*2)/(168*15)
=1/180
work done by 21 women in 180 hours
so no. of days= 180/6=30

Like? Yes (1) | No   

vikas singh   10 years AGO

men hours=21*15*8=2520
women houre=21*2/3*6X=2520
X=30 DAYS

Like? Yes (1) | No   

Anand Dwivedi   10 years AGO

15 men take 21 days of 8 hrs. each to do a piece of work.
How many days of 6 hrs. each would it take for 21 women if 3 women do as much work as 2 men?
:
Find the no. of man-hrs to complete the job
15 * 21 * 8 = 2520 man hrs
:
2 man-hrs = 3 women-hrs

therefore
1 women-hr = 2/3 man-hr
:
let d = no. days for these women to do the job
21 * 2/3 * 6d = 2520
84d = 2520
d = 30 days
:

Like? Yes (1) | No   

Monika Kadwe   10 years AGO

As 3 woman's work=2 men's work,
Let the total no of days taken by woman =a
so 21 woman's work=14 woman's work...
and work is same so equ. will be..
15M*21D*8H=14M*aD*6H
So the ans will be 30 days.

Like? Yes (1) | No   

keerthi   10 years AGO

15*8*21/14*6*?=1
21w=14M
?=30

Like? Yes (1) | No   

Charlton Fernandes   10 years AGO

because its simple

Like? Yes (1) | No   

Mohan   10 years AGO

15 men take 21 days of 8 hrs. each to do a
piece of work.
How many days of 6 hrs. each would it take
for 21 women if 3 women do as much work
as 2 men?
:
Find the no. of man-hrs to complete the job
15 * 21 * 8 = 2520 man hrs
:
2 man-hrs = 3 women-hrs
therefore
1 women-hr = 2/3 man-hr
:
let d = no. days for these women to do the
job
21 * 2/3 * 6d = 2520
84d = 2520
d = 30 days

Like? Yes (1) | No   

SAI TEJA   10 years AGO

3 women = 2 men
then 21 women = 14 men
therefore, 15*21*8 = 14*6*x
then x = 30.

Like? Yes (1) | No   

swasthika   10 years AGO

3 women = 2 men

so, 1w=2/3men

and 21w=(2/3)*21 = 14

15*21*8 = 14 * 6 * x

on solving x=30

Like? Yes (1) | No   

ARJUN M DANDAGI   10 years AGO

15*21*8=2520
21 women work as 14 men
2520/14=180
6 hour days
180/6=30 days of 6 hours for 21 women

Like? Yes (1) | No   

AAKANCHA SRIVASTAV   10 years AGO

3 women = 2 men
therefore 21 women=2/3*21=14 men
now, to find days
m1*d1*h1=m2*d2*h2
15*21*8=14*6*d2
=30 days
i.e. option 4

Like? Yes (1) | No   

Arjun Raju   10 years AGO

21 women can do only 14 men work,so m2=14 , d2=x , h2=6 and
m1=15 , d1=21 , h1=8
(m1)(d1)(h1) = (m2)(d2)(h2)
hence by solving we get x = (15 x 21 x 8) /(14 x 6)

Like? Yes (1) | No   

Aishwary Tiwari   10 years AGO

m*d*h=2w*d*h/3
15*21*8 = 21*6*2x/3
x=30

Like? Yes (1) | No   

Arkja tiwari   10 years AGO

30;
ll;

Like? Yes (1) | No   

Ashudeep   10 years AGO

one man's one hour work=1/(8*21*15)
3W=2M
so,21W=14M
now,
14M's one hour work=14/(8*21*15)
no. of days =8*21*15/(14*6)=30

Like? Yes (1) | No   

siddharth prakash singh   10 years AGO

ans=30

Like? Yes (1) | No   

SIDDHARTH KUMAR   10 years AGO

1 man can do a work in 21*8*15 hrs
2 men's 1 hrs work in (2*1)/21*8*15 hrs
21 women's 1 hr work=(7*2*1)/168*15 hrs
work completed by 21 women in (168*15)/14 hrs=180hrs=180/6 days=30 days

Like? Yes (1) | No   

anuj gupta   10 years AGO

30

Like? Yes (1) | No   

nishu kumar   10 years AGO

given 3 women=2 men
then 21 women will be equal to 14 men.
now,
according to chain rule,
less men, more days and less hour,more days(both r inversly proportional)
so,
14:15}21:x
6:8}
so x=21*15*8/(14*6)=30
so days =30

Like? Yes (1) | No   

Kushagra Krishna   10 years AGO

Say, the rate at which men work is a units/hr and rate at which women work is b units/hr.
So, 2a=3b
Lets say that the group of women will complete the work in d days
Now,
Work to be done= 15*a*21*8 = 21*b*d*6
Substitute a=3/2*b and solve for d
We get d=30 days.

Like? Yes (1) | No   

Adarsh   10 years AGO

15*21*8=2520
21 women work as 14 men
2520/14=180
6 hour days
180/6=30 days of 6 hours for 21 women

Like? Yes (1) | No   

vatan singh   10 years AGO

convert no. of women in no. of men i.e 21*(2/3)=14
i.e. 21 women work equal to 14 men
now equate the total workdone:
m*d*h=M*D*H
15*21*8=14*D*6
D=30
i.e. 14 men complete in 30 days as required acc.to que.
and also we calculate 14men = 21women
hence ans. is 30 days required to complete the work

Like? Yes (1) | No   

HEMANTH   10 years AGO

15*21*8=14*6*x
x=30

Like? Yes (1) | No   

MANU   10 years AGO

time taken to complete work=30 days

Like? Yes (1) | No   

Shankar Jha   10 years AGO

W2T1d1m1=W1T2d2m1
since,3 women=2men
then 21 women=14men
d2=(15*21*8*1)/14*6*1=30

Like? Yes (1) | No   

AVINASH GAURAV   10 years AGO

3w=2m,so 21w=14m.
15m->21->8=15*21*8 mdh
so,14m->6h=(15*8*21)/(14*6)=30d

Like? Yes (1) | No   

kirankumar maturi   10 years AGO

formula

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Jyotsna   10 years AGO

15M 21 Days(168 H)
then capacity is 1/(2520)
2 men with capacity 1/(2520) 6h work done is 1/(210)
3 Women 6h work per day with workdone 1/(210) then capacity is 1/(3780)

21 women with capacity done work in 180 H i.e 30 days

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karuna sri   10 years AGO

3w=2m
1w=3/2m
21w=14m
14men=less men=more days(Inverse ratio))
6hours=less hours=more days(Inverse ratio)
15*8*2/14*6=30days

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Arijit Talukdar   10 years AGO

3 women = 2 men
therefore 21 women = 14 men
15 men do a work in 21*8= 168 hr
1 men do a work in 15*168hr
14men do a work in 15*168/14 = 180hr
so days required = 180/6 = 30days

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RANDHIR KUMAR   10 years AGO

45/2*21*8=21*6*n=30

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Himanshu Mittal   10 years AGO

15 men do a work in 21*8 hrs. or We can say 15*3/2 women do same work in 168 hrs. Therefore 21 women will do same work in 168*22.5/21=180 hrs. This means 180/6=30days

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Ann Mary Jolly   10 years AGO

In 1 hr, 1 man can complete 1/(21*8*15) of the work.
so 3 women in 1hr will complete as much as 2 men = 2/(21*8*15)
so 1 woman in 1hr completes 2/(3*21*8*15) of work
So in 1 day, work completed = that by 21 women in 6hrs = 2*21*6/(3*21*8*15) = 1/30 of work
Therefore to complete the work it will take 30 days as 30*(1/30) =1

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sujata chakraborty   10 years AGO

15 men's 1 day work=1/(21*8)
1 men 1 day work= 1/(15*21*8)
2 men 1 day work=2/(15*21*8)=3 women's 1 day work
so 1 women's 1 day work =2/(3*15*21*8)=1/3780
let for x days ,
6 hours each,21 women's ,
one day one women work=1/(6*21*x)
applying chain rule,
1/(6*21*x)=1/(3780),so calculating x=30 days

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mamta garkoti   10 years AGO

2 man hr = 3 women hours,
therefore
1 women-hr = 2/3 man-hr

let d = no. days for these women to do the job
21 * 2/3 * 6d = 2520
84d = 2520
d = 30 days

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Poornima B   10 years AGO

15*21*8=2520 man/hours
2 man/hours=3women/hours
therefore 1women/hour=2/3man/hour
let d= no.of days for these women to do d job
21*(2/3)d*6=2520
84d=2520
d=30 days

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Sandeep Kumar   10 years AGO

(15*21*8)=(6*14*x), x=30.

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shiva kumar   10 years AGO

total time taken by men =21*15*8=2520 ,3 women=2 men so 21 women =14 men so time taken by women = 14*6*no.of days so no. of days =2520/14*6=30

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vinay kumar m   10 years AGO

15M ->21days->8Hrs
i.e 15M->21*8=168hrs
now,
3WOMEN=2MEN
take a pair of 3 women in total no. of women i.e 21/3=7
each 3 women=2 men
7*2=14 men
now
1514=x/168
i.e no. of hrs is inversely propositional to no. of workers
therefore x=(168*15)/14=180
180 hrs is total no. of hrs that women work
now they work only 6hrs per day
therefore 180/6=30

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T.Aravinth kumar   10 years AGO

Total hours=21*8=168
2M=3W
1W=2/3M
21W=21*(2/3) M=14M
15M=168 hours
14M=(15*168)/14=180 hours
180/6=30days

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aman   10 years AGO

2M = 3W then 1M =3/2W
Therefore 15 M = 45/2 W
45/2 W do work in 168 hrs (21*8)
So 21 W do it in (168*45)/42=180
21 W do for 6 hr a day therefore 180/6 =30days
Option 4

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jitendra varshney   10 years AGO

formula m1d1h1=m2d2h2
because hera,3 women =2 men
so 21 women =2*(21/3)=14 men
so m2=14
now 15*21*8=6*14*d2
d2=30 days

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satish kumar gupta   10 years AGO

since 15 men completing a work in 21 days by working 8 hrs daily. so the total no. of hours will be 21*8=168hrs. so 1 man will complete the work in 168*15=2520 hrs. so 2 men will complete the same work in 2520/2=1260 hrs. Now 3 women do the same amount of job as by 2 men.so the 3 women will complete the same job in 1260 hrs.So 21 women will complete the same job in 1260/7=180 hrs. as womens work 6 hrs in a days so they will complete the work in 180/6= 30 days.

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saisudha sarva   10 years AGO

15*2*8=14*6*D

D=30

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Ritesh Kumar   10 years AGO

15*21*8/(14*6)

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ROHIT RAMAN   10 years AGO

15 men take 21 days 8 hours wok
total hour of work=21*8*15=2520 hours
3 women do as much work as 2 men so 21 women will do as much work as 14 men. women works 6 hours daily. so total no. of days=2520/14=180 so 180/6=30

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dhanaseelan   10 years AGO

total works needed=(15*21*8)hours
21 women can replace by 14 men(bcz 2:3 ratio)
so total hours(14*x*6)
equating the values x will be 30

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Jigyasa Kumar   10 years AGO

21 * 2/3 * 6d = 2520
84d = 2520
d = 30 days

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abhilasha   10 years AGO

21 * 2/3 * 6d = 2520
84d = 2520
d = 30 days

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Megha GD   10 years AGO

1 man in 1 hr can do=1/(21*8*15) of work
2men work=3women work ==> 21women=14men
14men in 6 hrs=(1/(21*8*15))*14*6 =0.033333 work in 1 day
hence 1/0.033333 days=30 days to complete whole work

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Rahul contractor   10 years AGO

21 women are equivalent to 14 men according to the given ratio.
Total work is of 21x8x15 man hours
This can be done by 14 men in x days of 6 hr each in :
(21x8x15)/ (14x6)
= 30 days.

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vivek   10 years AGO

here,
15 :21 :8
14 :x :6 (21 wm=2*21/3=14)
so, x= (15*8*21)/(14*6) = 30

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Bankeshwer Prajapati   10 years AGO

Man complited the work in total Hours= 15*21*8= 2520

Now let womens take x days

form que:
2 man's hour = 3 woman's hour
so 1 woman's hours = 2/3 man's hours
then time time taken in 1 hour = 3/2 * man's hours

so 21*6*x = 3/2 * 2520
x = 30 days

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Mahesh   10 years AGO

As 3 women are equivalent to 2 men, 21 women are equivalent to 14 men.
So, the required answer is 15*21*8/14*6=30 days

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Sourojit Dhua   10 years AGO

Hourly rate of men:
= 1/(15[21{8}])
= 1/(15[168])
= 1/2,520

Ratio of women to men:
3w = 2m
w = 2/3m

No. of 6-hour days (d) of 21 women:
21 * 6d * 2/3(1/2,520) = 1
252/7,560d = 1
1/30d = 1
d = 30

Answer: 30 days at 6 hour per day would 21 women finish a job.

Like? Yes (1) | No (1)  

Simranjit Singh   10 years AGO

Time taken by 1 man by working 1 hr a day= 21*8*15 days
Time taken by 2 men by working 1 hr a day= 21*8*15/2=21*4*15
So time taken by 3 women by working 1 hr a day= 21*4*15
So Time taken by 1 woman by working 1 hr a day=21*4*15*3
So Time taken by 21 women by working 6 hr a day=21*4*15*3/6*21=30 days

So option (4)

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