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Question

A contractor engaged 15 men to complete a job in 12 days. However, he soon found that 3 small boys can do the work of one man and have to be paid less. If he engaged 6 boys and 7 men to complete a job, find the time taken by them to complete the job.


Solution

Since he hired 6 boys thats equivalent to 2 men

So totally he hired 9 men to complete the job

15 men do 100% work in 12 days.

Product of man-days = 15*12

​​9 men do 100% work in x days. 

Product = 9x

9x = 15*12
x= 20

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