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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?

9
10
11
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)

$\begin {cases}4 : 3\\1 : 2 \end{cases}::8:x$

$\therefore$ 4 x 1 x $ x $ = 3 x 2 x 8

$\Rightarrow x $ =$ \dfrac{(3 \times 2 \times 8)}{(4)} $

$\Rightarrow x $ = 12.

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