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Quantitative Aptitude

Time & Work

There are 4 f...

Question

There are 4 filling pipes and 3 emptying pipes capable of filling and emptying in 12 minutes and 15 minutes respectively. If all the pipes are opened together and as a result, they fill 10 litres of water per minute. Find the capacity of the tank.

A

65 ltr

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B

70 ltr

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C

75 ltr

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D

80 ltr

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E

None of these

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Solution

The correct option is C 75 ltr
$(\frac{4}{12} - \frac{3}{15}) \times t = 1$
$t = \frac{15}{2}$ minute- in this time the tank will be filled.
So the capacity = $\frac{15}{2} \times 10 = 75 l i t r e$

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