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4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
- a)35
- b)40
- c)45
- d)50
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
4 men and 6 women can complete a work in 8 days, while 3 men and 7 wom...
Let 1 man's 1 day work = x and 1 woman's 1 day work = y.
Then, 4x + 6y = 1/8 and 3x + 7y = 1/10
Solving these two equations, we get:
x = 11/400 and y = 1/400
10 woman's 1 day work = (1/400 x 10) = 1/40.
Hence, 10 women will complete the work in 40 days.
Most Upvoted Answer
4 men and 6 women can complete a work in 8 days, while 3 men and 7 wom...
First convert men into women.
8(4m+6wm)=10(3m+7wm).
32m+48wm=30m+70wm
2m=22wm
1m=11wm..
Then 4m , 6wm in 8days work we will convert as women,
4(11) is 11 is 1 men is equal to 11 wm.. Soo
4(11)+6(1)=50wm
After that we have caluclate this 50wm can do work in 8days =50*8=400
Then 10wm the compleate the work in 400/10=40...
40days is your answer..hope u like ..tq
8(4m+6wm)=10(3m+7wm).
32m+48wm=30m+70wm
2m=22wm
1m=11wm..
Then 4m , 6wm in 8days work we will convert as women,
4(11) is 11 is 1 men is equal to 11 wm.. Soo
4(11)+6(1)=50wm
After that we have caluclate this 50wm can do work in 8days =50*8=400
Then 10wm the compleate the work in 400/10=40...
40days is your answer..hope u like ..tq
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Community Answer
4 men and 6 women can complete a work in 8 days, while 3 men and 7 wom...
Given:
4 men + 6 women complete work in 8 days
3 men + 7 women complete work in 10 days
To find:
In how many days will 10 women complete it?
Solution:
Let's assume that 1 man can do 1 unit of work in 1 day and 1 woman can do 1/2 unit of work in 1 day.
From the given information, we can form the following equations:
4M + 6W = 1/8 (Work done by 4 men and 6 women in 1 day)
3M + 7W = 1/10 (Work done by 3 men and 7 women in 1 day)
On solving these equations, we get:
M = 1/400 (Work done by 1 man in 1 day)
W = 1/800 (Work done by 1 woman in 1 day)
Now, we need to find how many days will 10 women complete the work. Let's assume it takes 'd' days for 10 women to complete the work.
So, the total work done by 10 women in 'd' days = 10 * (1/800) * d = d/80
We know that 4 men and 6 women can complete the work in 8 days. So, the total work done by them in 1 day = 1/8
Total work done by 4 men in 1 day = 4 * (1/400) = 1/100
Total work done by 6 women in 1 day = 6 * (1/800) = 3/800
So, the total work done by 4 men and 6 women in 1 day = 1/100 + 3/800 = 1/40
Since the amount of work done is the same in both cases, we can equate them:
d/80 = 1/40
On solving, we get:
d = 40 days
Therefore, 10 women can complete the work in 40 days. Hence, option B is the correct answer.
4 men + 6 women complete work in 8 days
3 men + 7 women complete work in 10 days
To find:
In how many days will 10 women complete it?
Solution:
Let's assume that 1 man can do 1 unit of work in 1 day and 1 woman can do 1/2 unit of work in 1 day.
From the given information, we can form the following equations:
4M + 6W = 1/8 (Work done by 4 men and 6 women in 1 day)
3M + 7W = 1/10 (Work done by 3 men and 7 women in 1 day)
On solving these equations, we get:
M = 1/400 (Work done by 1 man in 1 day)
W = 1/800 (Work done by 1 woman in 1 day)
Now, we need to find how many days will 10 women complete the work. Let's assume it takes 'd' days for 10 women to complete the work.
So, the total work done by 10 women in 'd' days = 10 * (1/800) * d = d/80
We know that 4 men and 6 women can complete the work in 8 days. So, the total work done by them in 1 day = 1/8
Total work done by 4 men in 1 day = 4 * (1/400) = 1/100
Total work done by 6 women in 1 day = 6 * (1/800) = 3/800
So, the total work done by 4 men and 6 women in 1 day = 1/100 + 3/800 = 1/40
Since the amount of work done is the same in both cases, we can equate them:
d/80 = 1/40
On solving, we get:
d = 40 days
Therefore, 10 women can complete the work in 40 days. Hence, option B is the correct answer.
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4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?a)35b)40c)45d)50Correct answer is option 'B'. Can you explain this answer?
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