3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work wi

Supriya Mondal   9 years AGO

Let, total work can be done in x days.
From the question we can see that,
work done by one man=work done by two women
So, we can write 3 men=6 women
So, total (6+8)=14 women
So, total work=women * days
=14*x
like that in the second case we also get,
total work=14*x
Now,in the third case,
4 men=8 women
So, total (8+5)=13 women
So, total work done in the same x days=13*x
So, fraction of work will be finished=(13*x)/(14*x)=13/14
So, option 6)13/14 is the right answer

Like? Yes (5) | No   

Surit Datta   9 years AGO

here according to the question
3M + 8W = 6M + 2W
solving this we get
M = 2W
now putting M = 2W in the first two equations
we get 14 women
and if we put M = 2W
in the last equation (4M + 5W)
then we get 13 women
so the fraction of work is 13/14
so option 6

Like? Yes (6) | No (1)  

Aashish anand jha   9 years AGO

let,
men's 1 day work = x
women's 1 day work = y
total time taken = 10 day
equation formed :-
3x+8y = 1/10
6x+2y = 1/10
solving above
x= 1/70 and y = 1/140
now,
4mens and 5 womens 1 day work= 4x+5y=13/140.
in 10 days fraction of work done is = 10* 13/140 = 13/14 [answer]

Like? Yes (2) | No   

Chandra Bhushan Kumar Dubey   9 years AGO

3M+8W=6M+2W or 1M=2W then 3M+8W=6W+8W=14W completes the work in given time. then 4M+5W=8W+5W=13W completes 13/14 part of work in the given time.

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Ajinkya Kulkarni   9 years AGO

M=2W

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ABHINAV PUSHPAM   9 years AGO

Let the time be x
(3M+8W)x=(6M+2W)x
6W=3M i.e 1m=2w
So, putting value of m , (6w+8w)x=(8w+5w)x/y, ..... Let y be work.
So Y = 13/14 i.e. option 6) is correct

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MRITUNJAY   9 years AGO

it is answer

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MRITUNJAY KUMAR   9 years AGO

Options)6

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RAKESH   9 years AGO

3m + 8w = 6m + 2w

so, 1m = 2w

13/14 ans

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sompon temtheerakij   9 years AGO

3 men and 8 women work = 6 men and 2 women
so 1 men work = 2 woman
3 men and 8 women = 7 man or 14 woman
man work = 1/7 piece/day ; woman work 1/14 piece/day
4 men and 5 women work = 4*1/7+5*1/14 = 13/14

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Vinay g   9 years AGO

3x +8y=1. 6x+2y=1 solve x=1/14, y=17

4x+5y=?
ans is 13/14

Like? Yes (2) | No (1)  

Gurram Mahendra ranganath   9 years AGO

8*(w/14)+5*(w/14)=13w/14

Like? Yes (1) | No   

sravani   9 years AGO

Given 3m+8w=6m+2w
=>1m=2w
so let a part of work will be completed by 14W
for 4m+5w=13w
it would be 13/14part...

Like? Yes (1) | No   

Deepak Kumar Sahu   9 years AGO

it is given
3m+8w=6m+2w
hence 1m=2w

so 6m+2w=12w+2w=14w can do that work
then 1w can do 1/14 of that work

it has been asked if 4m+5w,
then 4m+5w=8w+5w=13w can do 13*(1/14)= 13/14 of that work....

hence option 6.

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Sanu Panji   9 years AGO

3M+8W=6M+2W
3M=6W
1M=2W

so ,
3M+8W=6M+2W=14W

now,
4M+5W=13W

so fraction of work=13/14

Like? Yes (1) | No   

vivek   9 years AGO

by solving these equation:
3x+8y=1...........(1)
6x+2y=1...........(2)

x=1/7
y=1/14
so work done by 4 men and 5 women is= 13/14

Like? Yes (1) | No   

Saurabh Kumar Gupta   9 years AGO

Let the time be 'x' hours.
6M*x + 2W*x = 3M*x + 8W*x
solving we get,
1M is equivalent to 2W.
So, 3M+8W = 14W
and also 4M+5W = 13W
so the required ratio is 13W/14W, i.e. 13/14

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anusha   9 years AGO

ans is 13/14 ie 6

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Anshul Garg   9 years AGO

Let one man complete work in m days and woman in w.

According to question,

(3/m + 8/w)*t = 1

(6/m + 2/w)*t = 1

Where, t is the time taken to complete the task.

After solving these two equations we get,

w = 2m
t = m/7

Now to find the amount of work finished we have

= (4/m + 5/w)*t

Now put the value of w and t to find the value.

So, answer is 13/14

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Jaspalsingh Parmar   9 years AGO

Option 6 is correct

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Ankit Pandey   9 years AGO

3 men + 8 women = 6 men + 2 women
3 men = 6 women
1 men = 2 women
thus 14 women needed to complete the task.
now 4 men + 5 women = 13 women needed to do the some fraction of work in same time.
thus
completed fraction of work = 13*(1/14) = 13/14

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Miriyala. siva sankar   9 years AGO

3m&8w =6m& 2w
then m=2w
so 13/14 work will complete

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Nupur   9 years AGO

3/M + 8/w = 6/m + 2/w

w = 2m

Let x be the fraction of work done of the total work

x( 3/m + 8/w) = 4/m + 5/w
On solving we get x = 13/14

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Devendra Marghade   9 years AGO

If 1 day work of 1 man=m & woman=w and
if 'x' is the days required to complete the work, then
1 day work=3m + 8w =1/x ---(i) and
6m +2w = 1/x ---(ii)
Equating (i) & (ii) m=2w
Substituting this value of m in either (i) or (ii),
14w=1/x ---(iii)
If 4 men & 5 women works, their total 1 day work=4m+5w=13w ---(iv)
From (iii) & (iv), Fraction of the work finished
=(1/x)*(13w)/(14w)=(1/x)*(13/14)
So 13/14 of the work will be finished

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ashvini kumar   9 years AGO

let in 1 day workdone by 1 man=x and by 1 women=y
let in t day taken by both group to complete the task
a/c problem t(3x+8y)=t(6x+2y)
>> x=2y
workdone by 3rd group in t day=t(4x+5y)
fraction of work=t(4x+5y)/ t(3x+8y)=13y/14y=13/14
or fraction of work=t(4x+5y)/t(6x+2y)=13/14
so correct option is 13/14

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modem mounika   9 years AGO

3m+8w=t ----- 1
6m+2w=t ----- 2

From 1 ans 2

w=t/14 and m=t/7

substitute w ans m in
4m+5w then ans 13/14

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Ravi Bhushan Mahato   9 years AGO

3m+8w=6m+2w
so
m=2w
3m+8w is equal to 14w
4m+5w is equal to 13w

so answer is 13/14

Like? Yes (1) | No   

priyanka    9 years AGO

3m+8f=6m+2f=x
by solvng m=2F
m=x/7 f=x/14
thn work 13/14

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arush gupta   9 years AGO

ans 13/14

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harvinder   9 years AGO

3x + 8y = 6x + 2y = 1

x=2y

3x+8y =1
y=1/14


reqd = 4x + 5y = 4*2y +5y = 13y =13/14

Like? Yes (1) | No   

Shanmugapriya.G   9 years AGO

It is the ratio of one day work of (4m,5w) and one day work of either (3m,8w) or (6m,2w) .
let one day work of men and women as 1/x, 1/y.
then solving equation 3/x+8/y=6/x+2/y
2x=y.
then fraction work becomes (4/x+5/y)/(3/z+8/y) =13/14

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kummari paramesh   9 years AGO

1 men work = 2 womens work
hence the total work per day is 14
in the question asked 1 work will be lacked so 13/14 is the answer.

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ganesh babu   9 years AGO

3M+8w=6m+2w
3M=6w day
M=2w day
3M+8W=6W+8W=14W day
4M+5W=8W+5W=13W day
Task finished fraction = 13/14

Like? Yes (1) | No   

Sandeep Kumar   9 years AGO

3m + 8w = 6m + 2w
=> 3m = 6w
=> 1m = 2w
total work = 3m + 8w = 3*2w + 8w = 14w
so, 4m and 5w = 4*2w + 5w = 13w
so, work finished is 13w/14w = 13/14

Like? Yes (2) | No (1)  

sudhakar   9 years AGO

let men be x and women be y
so 3x+8y=1
and same work is also done by another alternate
6x+2y=1

solve equation 1 and 2 to get the value of x and y
therefore, x=1/7 and y=1/14

we need solution for 4x+5y

substitute the value of x and y
the solution will be 13/14

Like? Yes (1) | No   

Vibha   9 years AGO

3x + 8y = 6x + 2y
3x = 6y
x = 2y

men do double work then woman
fraction = (4x + 5y)/(3x+8y)
=13/14
answer 6

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sanjeev   9 years AGO

13/14

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A M ANKIT KALLURAYA   9 years AGO

3(1/x)+8(1/y)=6(1/x)+2(1/y)
-3(1/x)=-6(1/y)
(1/x)=(2/y)
3(2/y)+8(1/y)=1
y=14
(1/x)=(2/y)
x=7
4(1/7)+5(1/14)=13/14

Like? Yes (1) | No   

krishna   9 years AGO

3m+8w=1
6m+2w=1
equating these we get
w=1/14
m=1/7
4m+5w=13/14

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Preethi   9 years AGO

Let w be the work done by women and m be the work by men
so 3m+8w=6m+2w
m=2w
13/14

Like? Yes (1) | No   

Awadhesh Singh   9 years AGO

if, man alone can do= m days
women..................= w days
3/m + 8/w = 6/m + 2/w
w=2m
if work completed in 1 day,
w=7 & m=14
i. e. 4/m + 5/w = 13/14

Like? Yes (1) | No   

amarjeet singh   9 years AGO

let the work done by 1 men is x
and work done by 1 women is y
acc to given condition
3x+8y and 6x+2y are equal .
solving above two we will get x=1/7
and y =1/14
and
then 4x + 5y put the values of x and y the answer will be 13/14

Like? Yes (1) | No   

rakhi kumari   9 years AGO

man - x days
woman- y days
(3/x + 8/y)*t=(6/x + 2/y)*t

2x=y

t=x/7

(4/x + 5/y)*t=(4/x + 5/2x)*x/7 = 13/14

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radhakrishna bajpai   9 years AGO

1men=2women
6.5/7=13/14

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adityakumarsingh   9 years AGO

3m+8w=6m+2w=>2w=m
14w can do 1work
1.............1/14w
13w ......(1/14w)13w=13/14

Like? Yes (1) | No   

Mukesh   9 years AGO

Vv

Like? Yes (1) | No   

Sourabh Prasad   9 years AGO

3 m + 8 w = 6 m + 2 w
Solving,
2 w = 1 m ------------(1)

therefore,
(4 m + 5 w )/(6 m + 2 w) = (8w + 5w)/(12w+2w) --------- using equation 1

= 13 w/14 w
= 13/14

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krishna chandrika   9 years AGO

one man can do 1/7 work
one woman can do 1/14 work
4men and 5women can do 13/14 work

Like? Yes (1) | No   

Chandrika Thakkella   9 years AGO

3 men+8 women=6 men+2 women
from this, 2 women=1 men which means that 14 women can complete the total work.
Then 4 men+5 women= 13 women completes 13/14th work

Like? Yes (1) | No   

srinivas   9 years AGO

Explanation:-
3m+8w=6m+2w because same working days
8w-2w=6m-3m so 6w=3m by this-------------->1m=2w
one men equals two womens
3*2=6+8=14 women can complwte the work
so one women can complete in 1/14 days
he has given 4*2=8+5=13 women
So they can complete 13/14 days

Like? Yes (1) | No   

Jitendra Kumar   9 years AGO

3x+8y=6x+2y
implies
x=2y
so
4x+5y=8y+5y=13y
hence 13/14

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Rats   9 years AGO

3x+8y=6x+2y=1/n
x=2y
n=13/14

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Geetika   9 years AGO

(3M+8W)*T/Wk = (6M+2W)*T/Wk
3M+8W = 6M+2W
2W = M

(4M+5W)*T/x = (6M+2W)*T/Wk
(8W+5W)/x = (12W+2W)/Wk
13W/x =14W/Wk
x= (13/14)Wk

Like? Yes (1) | No   

Paras Jain   9 years AGO

its 13/14 Ans.

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Sakti Prasad Panda   9 years AGO

3 m +8 w= 1(suppose total work is 1)
6 m+2 w = 1
Solving the above equations we get m= 1/7 , w=1/14
so 4 m+5 w = 4*1/7 +5*1/14 = (13/14)th of the work

Like? Yes (1) | No   

mohini gupta   9 years AGO

3x+8y=6x+2y=14y
2y=x
4x+5y=13y
hence 13/14

Like? Yes (1) | No (1)