Asked by kumar

3 men & 7 women can complete a work in 10 days, while 4 men and 6 women can complete it in 8 days. In how many days will 10 women complete it?

Answers

Answered by oobleck
If a man can do it in m days, and
a woman can do it in w days, then
3/m + 7/w = 1/10
4/m + 6/w = 1/8
Solve for w and then you want w/10
Answered by kumar
sir,
l got on solving 6w = 1/40
1w = 1/240
so 10w = 1/240 x 10 =1/24
= 24 days .
ls it correct sir.
Answered by oobleck
I think w=400
3/m + 7/w = 1/10
4/m + 6/w = 1/8
now use elimination.
12/m + 28/w = 2/5
12/m + 18/w = 3/8
-------------------------
10/w = 1/40
w = 400
So it will take 10 women 40 days.
Answered by oobleck
Hmmm. That doesn't make sense. You may be right after all. I'll have to double-check.
Answered by oobleck
Nope. w=400 days is right. That means that the women basically do nothing, which agrees roughly with the data. If the women really do nothing, then
If 3 men can do it in 10 days, then 4 men can do it in 7.5 days, which is just about what they have said.
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