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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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1. 

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

Answer: Option C

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 1-sym-cbrace-h2 :: 8 : x
Days 1 : 2

 4 x 1 x x = 3 x 2 x 8

 x = (3 x 2 x 8)
(4)

 x = 12.

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