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.

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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 = 1512

9 men do 100% work in x days.

Product = 9x

9x = 1512
x= 20

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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.

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

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 = 1512

9 men do 100% work in x days.

Product = 9x

9x = 1512
x= 20