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4 men or 5 women can construct a wall in...

`4` men or `5` women can construct a wall in `82` days. How long will it take for `5` men and `4` women to do the same ?

A

`40 days`

B

`38 days`

C

`44 days`

D

`50 days`

Text Solution

Verified by Experts

The correct Answer is:
A
Given 4m=5w, where m is the work done by one man in one day and w is the work done by one woman in one day.
`implies 1m=5w//4`
Now, `5m+4w=5((5w)/(4))+4w=(41w)/(4)`
If 5w can do the work in 82 days, then `(41w)/(4)` can do in `5wxx82xx(4)/(41w)=40days`.
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