Question

Solve the following.

24 men can complete a job, working 7 hours a day in 27 days. In how many days can 14 men, complete the same job working 9 hours a day.

Answer 1

Let x be the number of days in which 14 men complete the job, working 9 hours a day.

Number of days decrease when the working hours increase.

This is inverse proportion

Number of days decrease when the number of men increases.

This is inverse proportion

The detailed proportions are:

Men	Hours	Days
24	7	27
14	9	x

Thus, the number of days in which 14 men will complete the job, working 9 hours a day, is 36.