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A girl can fill 44 taps and also one tap can be emptied in 88 hours. If both the taps are open then in how much time will be tap will be filled

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Full solution

Q. A girl can fill 44 taps and also one tap can be emptied in 88 hours. If both the taps are open then in how much time will be tap will be filled
  1. Identify Rates: Identify the rates at which the taps fill and empty the tank.\newlineFilling tap rate: 11 tank per 44 hours, which is 14\frac{1}{4} tank per hour.\newlineEmptying tap rate: 11 tank per 88 hours, which is 18\frac{1}{8} tank per hour.
  2. Calculate Net Rate: Calculate the net rate when both taps are open.\newlineNet rate = Filling rate - Emptying rate = 14\frac{1}{4} - 18\frac{1}{8} = 28\frac{2}{8} - 18\frac{1}{8} = 18\frac{1}{8} tank per hour.
  3. Determine Total Time: Determine the total time to fill the tank at the net rate.\newlineTime = 1(Net rate)=1(18)=8\frac{1}{\text{(Net rate)}} = \frac{1}{\left(\frac{1}{8}\right)} = 8 hours.

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