24 men and 29 women can do a piece of work in 5 days. 30 men can complete the work in 24 days . How long will 24 women will take to complete the work
Answers
Answer:
Given conditions,
24 men and 29 women can do a work in 5 days.
Let, the whole of the work be 1
Again,
30 men can complete it in 24 days
1 man can complete it in (24*30) days
= 720 days
1 man's one day's work = 1/720 part of
the work
24 men's one day's work= 24*1/720
part
" ". 5 ". " = 24*1*5/720
= 1/6 part of
the work
Therefore,
29 women had done (1- 1/6 ) part of the whole work in 5 days
=5/6 part of the whole work
Part of the work done by 29 women in 1 day = 5/6*5 = 1/6 part of the work
Part of the work done by 1 woman in 1 day = 1/6*29 part
Part of the work done by 24 women in 1 day = 1*24/6*29 = 4/29 part of the work
Therefore, time required by 24 women to complete the work= 1/4/29 days= 1*29/4 days= 71/4 days
= 7 days and 6 hrs(answer)
Step-by-step explanation: