Question
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
Pumps
4
:
3
:: 8 : x
Days
1
:
2
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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
So, 4 x 1 x x = 3 x 2 x 8
x = \(\frac{(3\times2\times8)}{(4)}\)
x = 12.
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