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Chain Rule - General Aptitude

Q1:

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?

A 9

B 10

C 11

D 12

ANS:D - 12

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
 4 x 1 x x = 3 x 2 x 8
 x = (3 x 2 x 8)
(4)
 x = 12.