Chain Rule - Quantitative Aptitude (MCQ) questions for Q. 756

Q.  For a road work, a contractor was given a deadline to complete the work in 25 days. Hence, he employed a certain number of workers to accomplish the job. But from the very first day 9 workers were absent and the remaining workers could finish the work in 40 days. What number of workers did the contractor hired in the beginning?

- Published on 06 Jul 15

a. 20
b. 30
c. 24
d. 16

ANSWER: 24
 
Let the number of workers initially hired be x.

Hence, x workers can complete the work in 25 days and (x-9) workers can complete the work in 40 days.

Now, the number of men and the amount of work are in direct proportion and number of men and number of days in indirect proportion.

x*25 = (x – 9)*40
25x = 40x – 360
15x = 360
x = 24

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