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A tank is filled by two pipes A and B in 15 hours and 20 hours respectively. If

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Question: A tank is filled by two pipes A and B in 15 hours and 20 hours respectively. If both pipes are opened together, how long will it take to fill the tank?

Options:

  1. 8 hours
  2. 10 hours
  3. 12 hours
  4. 15 hours

Correct Answer: 10 hours

Solution: 

The combined rate is 1/15 + 1/20 = 7/60. Therefore, it will take 60/7 hours to fill the tank.

A tank is filled by two pipes A and B in 15 hours and 20 hours respectively. If

Practice Questions

Q1
A tank is filled by two pipes A and B in 15 hours and 20 hours respectively. If both pipes are opened together, how long will it take to fill the tank?
  1. 8 hours
  2. 10 hours
  3. 12 hours
  4. 15 hours

Questions & Step-by-Step Solutions

A tank is filled by two pipes A and B in 15 hours and 20 hours respectively. If both pipes are opened together, how long will it take to fill the tank?
Correct Answer: 8.57 hours
  • Step 1: Determine the rate at which pipe A fills the tank. Since it fills the tank in 15 hours, its rate is 1/15 of the tank per hour.
  • Step 2: Determine the rate at which pipe B fills the tank. Since it fills the tank in 20 hours, its rate is 1/20 of the tank per hour.
  • Step 3: Add the rates of both pipes to find the combined rate. This is done by calculating 1/15 + 1/20.
  • Step 4: To add 1/15 and 1/20, find a common denominator. The least common multiple of 15 and 20 is 60.
  • Step 5: Convert 1/15 to 4/60 and 1/20 to 3/60. Now add them: 4/60 + 3/60 = 7/60.
  • Step 6: The combined rate of both pipes is 7/60 of the tank per hour.
  • Step 7: To find out how long it takes to fill the tank, take the reciprocal of the combined rate. This means you calculate 60/7 hours.
  • Work Rate – Understanding how to calculate the combined work rate of multiple entities working together.
  • Fraction Addition – Adding fractions to determine the total rate of work done.
  • Time Calculation – Calculating the time taken to complete a task based on the combined work rate.
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