Question

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? ​

Answer 1

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