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If a pipe can fill a tank in 15 hours and another pipe can empty it in 20 hours,

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Question: If a pipe can fill a tank in 15 hours and another pipe can empty it in 20 hours, how long will it take to fill the tank if both pipes are opened together?

Options:

  1. 30
  2. 60
  3. 40
  4. 50

Correct Answer: 40

Solution: 

Filling rate = 1/15, emptying rate = 1/20. Combined rate = 1/15 - 1/20 = 1/60. Time taken = 60 hours.

If a pipe can fill a tank in 15 hours and another pipe can empty it in 20 hours,

Practice Questions

Q1
If a pipe can fill a tank in 15 hours and another pipe can empty it in 20 hours, how long will it take to fill the tank if both pipes are opened together?
  1. 30
  2. 60
  3. 40
  4. 50

Questions & Step-by-Step Solutions

If a pipe can fill a tank in 15 hours and another pipe can empty it in 20 hours, how long will it take to fill the tank if both pipes are opened together?
  • Rate of Work – Understanding how to calculate the rates of filling and emptying a tank and how to combine them.
  • Combined Rates – Applying the concept of combined rates to determine the net effect of multiple processes occurring simultaneously.
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