My Learning Cart
?
Categories
Account

A tank has two pipes. Pipe A can fill the tank in 6 hours, and pipe B can empty

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: A tank has two pipes. Pipe A can fill the tank in 6 hours, and pipe B can empty it in 4 hours. If both pipes are opened together, how long will it take to fill the tank?

Options:

  1. 2 hours
  2. 3 hours
  3. 4 hours
  4. 5 hours

Correct Answer: 4 hours

Solution: 

The net rate is 1/6 - 1/4 = 2/12 - 3/12 = -1/12. Therefore, the tank will never fill.

A tank has two pipes. Pipe A can fill the tank in 6 hours, and pipe B can empty

Practice Questions

Q1
A tank has two pipes. Pipe A can fill the tank in 6 hours, and pipe B can empty it in 4 hours. If both pipes are opened together, how long will it take to fill the tank?
  1. 2 hours
  2. 3 hours
  3. 4 hours
  4. 5 hours

Questions & Step-by-Step Solutions

A tank has two pipes. Pipe A can fill the tank in 6 hours, and pipe B can empty it in 4 hours. If both pipes are opened together, how long will it take to fill the tank?
  • Step 1: Understand that Pipe A fills the tank in 6 hours. This means it fills 1/6 of the tank in 1 hour.
  • Step 2: Understand that Pipe B empties the tank in 4 hours. This means it empties 1/4 of the tank in 1 hour.
  • Step 3: Calculate the rate at which both pipes work together. Since Pipe A fills and Pipe B empties, we need to subtract the emptying rate from the filling rate.
  • Step 4: Write the rates as fractions: Pipe A's rate is 1/6 and Pipe B's rate is -1/4 (negative because it empties).
  • Step 5: Find a common denominator to subtract the rates. The common denominator for 6 and 4 is 12.
  • Step 6: Convert the rates: 1/6 becomes 2/12 and -1/4 becomes -3/12.
  • Step 7: Subtract the rates: 2/12 - 3/12 = -1/12.
  • Step 8: The result -1/12 means that instead of filling, the tank is emptying at a rate of 1/12 of the tank per hour.
  • Step 9: Since the net rate is negative, the tank will never fill when both pipes are open.
  • Rate of Work – Understanding how to calculate the rate at which pipes fill or empty a tank.
  • Net Rate Calculation – Combining the rates of filling and emptying to find the overall effect on the tank's water level.
  • Time Calculation – Determining the time taken to fill the tank based on the net rate.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks