Home » Aptitude » Pipes and Cistern » Question
  1. A pipe can fill a cistern in 9 hours. Due to a leak in its bottom, the cistern fills up in 10 hours. If the cistern is full, in how much time will it be emptied by the leak ?
    1. 70 hours
    2. 80 hours
    3. 90 hours
    4. 100 hours
Correct Option: C

From the given question ,

∴ Part of the cistern filled by pipe in 1 hour =
1
9

Due to a leakage ,Part of the cistern filled by pipe in 1 hour =
1
10

Part of the tank emptied by the leak in 1 hour =
1
-
1
910

Part of the tank emptied by the leak in 1 hour =
10 - 9
=
1
9090

∴ Required time = 90 hours



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