SOLUTION: 36 man can do a work in 20 days,in how many days 24 man do the same work ,given that time spent per day is decreased by 1/3 of the previous time?

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Question 773568: 36 man can do a work in 20 days,in how many days 24 man do the same work ,given that time spent per day is decreased by 1/3 of the previous time?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
There are given normal work day and (1/3) workday.
Normal Day:
36 men, 1 job, 20 days.
For 1 man, 1 job done in 20*36 days, or 1%2F720 jobs per day.
Shorter workday:
The one-man rate will now be 1%2F%28720%2A3%29=1%2F2160 jobs per short-workday.
24 men working in these short-days makes their group rate 24%281%2F2160%29=highlight%281%2F90%29 jobs per short-day.

ANSWER: The group of 24 men doing the job using short (1/3) days needs 90 days to do this job.