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If a tank is filled by a pipe in 7 hours and emptied by another pipe in 14 hours

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Question: If a tank is filled by a pipe in 7 hours and emptied by another pipe in 14 hours, how long will it take to fill the tank if both pipes are opened together?

Options:

  1. 4 hours
  2. 5 hours
  3. 6 hours
  4. 7 hours

Correct Answer: 6 hours

Solution: 

The net rate is 1/7 - 1/14 = 2/14 - 1/14 = 1/14. Therefore, it will take 14 hours to fill the tank.

If a tank is filled by a pipe in 7 hours and emptied by another pipe in 14 hours

Practice Questions

Q1
If a tank is filled by a pipe in 7 hours and emptied by another pipe in 14 hours, how long will it take to fill the tank if both pipes are opened together?
  1. 4 hours
  2. 5 hours
  3. 6 hours
  4. 7 hours

Questions & Step-by-Step Solutions

If a tank is filled by a pipe in 7 hours and emptied by another pipe in 14 hours, how long will it take to fill the tank if both pipes are opened together?
  • Rate of Work – Understanding how to calculate the rate at which each pipe fills or empties the tank and how to combine these rates.
  • Net Rate Calculation – Determining the net effect of both filling and emptying processes to find the overall rate of filling the tank.
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