3 men and 4 women do a work in 10 days as 2 men and 6 women do. 4 men and 8 women starts the same wo

M4maths Previous Puzzles

08 Apr 2015 Time and work

3 men and 4 women do a work in 10 days as 2 men and 6 women do. 4 men and 8 women starts the same work and after 2 days only women remains in the work for completing it. How many days are required to complete the work.

OPtion

1) 6
2) 7.5
3) 8
4) 8.5
5) 9
6) 10.5
7) 11
8) 12
9) 12.5
10)13

Solution

3 men + 4 women = 2 men + 6 women
1 men = 2 women
Now 4 men + 8 women = 16 women
according to given condition
3 men + 4 women = 10 women do the work in 10 days
So 1 day work of 1 women = 1/100 part
In 2 days work completed = 2*16* 1/100
= 32/100 part
Remaining work = 68/100 part
and Remaining women for work = 8
So number of days required = (68/100)/(8/100) = 68/8 = 17/2
= 8.5
Option 4)

Correct Option: 4 Best Solution (23)

moumita   9 years AGO

3m+4w=2m+6w => 1m=2w
3m & 4w does the work in 10 days.
=> 10 women does the work in 10days.
now, 4men & 8women will do the work in = 4*2+8 = 16 women
16 * x= 100 days => x= 6.25 days
1 women 1 day work = 1/100
16 women 2 day work =2/6.25
remaining days= 1-(2/6.25) = 4.25/6.25 = 0.68
now after 2 days all men left. so, 8 women are left to do the remaining work.
8 women 1 day work = 8/100
then no of days= 100/8 = 12.5
now, total no of days = 12.5 * 0.68 = 8.5 days
Ans= (4) 8.5

Like? Yes (6) | No (2)  

Supriya Mondal   9 years AGO

1 man do the work in 1 day is =1/50 part of the work
and 1 woman do the work in 1 day is =1/100 part of the work
So, in 2 days they will done (8/50+16/100)=16/50 part of the work
So the days needed by the women to complete the rest of the work will be=(1-16/50)/(8/100)=8.5 days
So, option 4)8.5 is the right answer

Like? Yes (3) | No (1)  

ABHINAV PUSHPAM   9 years AGO

(3 men work + 4 women work ) 10 days = (2 men work + 6 women work ) 10 days 3 men + 4 women = 2 men + 6 women
1 men = 2 women So, total work in case of women is
(3*2 + 4) * 10 = 100 women work. Thus
( 4*2 + 8 ) * 2 = 32 women work is completed after 2 days. Remaining 68 work is done with 68/8 = 8.5 days by women..... 8.5 days is the answer..!

Like? Yes (2) | No   

sompon temtheerakij   9 years AGO

3 man + 4 woman = 2 man + 6 woman
so 1 man = 2 woman
5 man do in 10 day = 1/50 work/day
10 womwn do in 10 day = 1/100 work/day
4 man + 8 woman work 2 day = 2(4/50 + 8/100) = 8/25 work
remain work = 1 - 8/25 = 17/25
8 woman do 17/25 work = 17/25*100/8 = 8.5 day

Like? Yes (1) | No   

umesh   9 years AGO

30md+40wd=20md+60wd
1m=2w
for 2 day they will work 32women days
100-32=68wd
so after 2 days only women will do work in=68/8
so opion 4 is correct

Like? Yes (1) | No   

Devendra Marghade   9 years AGO

3M+4W=2M+6W, M=2W
So 3M+4W=10W's 1 day work=1/10,
So 1W, 1Day work=1/100
Now 4M+8W=16W's 2 days work=(16*2)/100=8/25
So work left=17/25, which is to be done by 8 women,
Days required=Remaining work/ 8 women's 1 day work
=(17/25)/(8/100)=68/8=8.5
Ans=option 4)

Like? Yes (2) | No (1)  

kranthi kanchanapally   9 years AGO

form the given problem we get the equations
30m+40w=1.....(1)
20m+60w=1....(2)
we get m=50 and w=100
then 4 men and 8 women will complete the work in 1 day=16/100
the men and women worked for 2 days=32/100
then remaining work 68/100 work done by 8 women in 8.5 days
so option 4 is correct

Like? Yes (1) | No   

Shonit Baradia   9 years AGO

Calculate the amount of work each man and woman does per day
Also notice that men are twice as much productive as women
Then we get 1 man = 2 women
Then we see that each man does 2% of the work per day
For first 2 days we have 8 men doing 32% of the work
For the rest of the work, i.e., 68% it will take 8.5 days
Therefore 10.5 days

Like? Yes (1) | No   

Sunny Raj Sahil   9 years AGO

Each man works as double of each woman, so if only women starts working then 10 women takes 10 days means, a single woman will take 100 days to complete that work.

now 4 men and 8 women which is equal to 16 women, work for 2 days means 16*2=32 part of work has been done out of 100

now remaining work is 100-32=68

if only women work then 8 women will work for 8 days and another half day, that means 8.5 days and the option will be 4

Like? Yes (2) | No (1)  

Math Lovers   9 years AGO

3m + 4 w = 2m + 6w
=> m = 2w

So, 3m+4w = 10 w finish 1 work in 10 days
=> 1 w finish 1 work in 100 days
4m + 8w = 16 w
work done by 16 w in 2 days = (1/100) * 16*2 = 32/100
rest work = 1- 32/100 = 68/100

for rest work -
1 work 1w = 100 days
1 work 8w = 100/8 days
68/100 work 8w = (100/8)* (68/100) = 8.5 days

Like? Yes (1) | No   

Utkarsh Sharma   9 years AGO

(3 men work + 4 women work ) 10 days = (2 men work + 6 women work ) 10 days
3 men + 4 women = 2 men + 6 women
1 men = 2 women

So, total work in case of women is
(3*2 + 4) * 10 = 100 women work.

Thus
( 4*2 + 8 ) * 2 = 32 women work is completed after 2 days. Remaining 68 work is done with 68/8 = 8.5 days by women.....

8.5 days is the answer..!

Like? Yes (1) | No   

aman aditya   9 years AGO

1 man = 2 women

total work = 100 women
so in two days 2*4*2+8*2=32 part is done
100-32=68 part is left
68/8=8.5

Like? Yes (1) | No   

vishwa   9 years AGO

work done by 1 men = 1/50
work done by 1 women = 1/100

on solving,8 1/2 days are more required

Like? Yes (1) | No   

sourav pal   9 years AGO

(3 men work + 4 women work ) 10 days = (2 men work + 6 women work ) 10 days

3 men + 4 women = 2 men + 6 women
1 men = 2 women

So, total work in case of women is
(3*2 + 4) * 10 = 100 women work.

Thus
( 4*2 + 8 ) * 2 = 32 women work is completed after 2 days. Remaining 68 work is done with 68/8 = 8.5 days by women.....

8.5 days is the answer..!

Like? Yes (1) | No   

sachin   9 years AGO

3 men work + 4 women work ) 10 days = (2 men work + 6 women work ) 10 days
3 men + 4 women = 2 men + 6 women
1 men = 2 women

So, total work in case of women is
(3*2 + 4) * 10 = 100 women work.

Thus
( 4*2 + 8 ) * 2 = 32 women work is completed after 2 days. Remaining 68 work is done with 68/8 = 8.5 days by women.....

8.5 days is the answer

Like? Yes (1) | No   

subhankar thakur   9 years AGO

10-1.5 =8.5

Like? Yes (1) | No   

sai   9 years AGO

1 man = 2 women
M*D/w= M8D/w

Like? Yes (1) | No   

RAKESH   9 years AGO

M = 2W

16*2 + 8*X = 10*10
or, X = 8.5

Like? Yes (1) | No   

SHAHEEN   9 years AGO

by given conditions
1 men =2 women
1women=1/100
1 men =1/50
by claculations
8 womens complete in 8.5 days

Like? Yes (1) | No   

alety kiranmai   9 years AGO

by given conditions
1 men =2 women
1women=1/100
1 men =1/50
by claculations
8 womens complete in 8.5 days

Like? Yes (1) | No   

SANTOSH SAHOO   9 years AGO

option 4 is correct answar

Like? Yes (1) | No   

Surit Datta   9 years AGO

(3 men work + 4 women work ) 10 days = (2 men work + 6 women work ) 10 days 3 men + 4 women = 2 men + 6 women
1 men = 2 women So, total work in case of women is
(3*2 + 4) * 10 = 100 women work. Thus
( 4*2 + 8 ) * 2 = 32 women work is completed after 2 days. Remaining 68 work is done with 68/8 = 8.5 days by women
8.5 days is the answer..!
So option 4
that's it.

Like? Yes (1) | No   

Srinivas   9 years AGO

1w one days work =1/100
1 men one day work = 2/100
so ans is 8.5

Like? Yes (1) | No (1)