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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?

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Correct Answer: 12

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 =	(3 x 2 x 8)
	(4)

⟹ x = 12.

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