90 men are engaged to do piece of work in 40 days but it is found that in 25 days, 2/3 work so completed. How many men should be allowed to go off so that the work may be finished in time?
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Answer:
15 men
Explanation:
total number of men = 90
total number of days alloted= 40
no. of days remaining= 40 - 25 = 15
total work to be done = 1
work that has been done in 25 days = 2/3
work to be done in remaining 15 days = 1/3
In 25 days, work done by 90 men = 2/3
In 1 day work done by 90 men = 2/(3×25)
In 1 day work done by 1 man = 2/( 3×25×90)
In 1 day work done by y men = 2y/(3×25×90) ........1
In remaining 15 days, work to be done = 1/3
In order to complete work, in 1 day work to be done = 1/(3×15) ..........2
from 1 and 2
y= 75 men
so men required to complete work = 75
extra men = 90 - 75 = 15 men
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