An inlet pipe can fill a water storage tank in 11 hours and an outlet pipe can empty the completely filled tank in 15 hours. If both pipes are opened simultaneously, the time taken to fill the empty tank (in hrs) is:
41 1/4
Rate of filling = \( \frac{1}{11} \) per hour, Rate of emptying = \( \frac{1}{15} \) per hour.
Net rate = \( \frac{1}{11} - \frac{1}{15} = \frac{15 - 11}{165} = \frac{4}{165} \).
Time required = \( \frac{1}{\frac{4}{165}} = 41.25 \) hours or \( 41 \frac{1}{4} \) hours.
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