Chain Rule - Arithmetic Aptitude Questions and Answers

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3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

Answer : Option D

Explanation :

Let the required number of working hours per day be x.

More pumps, Less working hours per day (Indirect Proportion)

Less days, More working hours per day (Indirect Proportion)

Pumps	4	:	3		:: 8 : x
Days	1	:	2		:: 8 : x

4 x 1 x x = 3 x 2 x 8

x = $\frac { (3*2*8) } { (4)}$

x = 12.

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