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If a pipe can fill a tank in 8 hours and another pipe can empty it in 12 hours,

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Question: If a pipe can fill a tank in 8 hours and another pipe can empty it in 12 hours, how long will it take to fill the tank if both pipes are opened together?

Options:

  1. 4
  2. 6
  3. 8
  4. 10

Correct Answer: 6

Solution:

Filling rate = 1/8, emptying rate = 1/12. Combined rate = 1/8 - 1/12 = 1/24. Time to fill = 24 hours.

If a pipe can fill a tank in 8 hours and another pipe can empty it in 12 hours,

Practice Questions

Q1
If a pipe can fill a tank in 8 hours and another pipe can empty it in 12 hours, how long will it take to fill the tank if both pipes are opened together?
  1. 4
  2. 6
  3. 8
  4. 10

Questions & Step-by-Step Solutions

If a pipe can fill a tank in 8 hours and another pipe can empty it in 12 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 working together.
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