My Learning Cart
?
Categories
Account

If a tank can be filled by a pipe in 15 hours and emptied by another pipe in 10

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

What’s inside this PDF?

Question: If a tank can be filled by a pipe in 15 hours and emptied by another pipe in 10 hours, how long will it take to fill the tank if both pipes are opened together?

Options:

  1. 5 hours
  2. 6 hours
  3. 7 hours
  4. 8 hours

Correct Answer: 8 hours

Solution: 

The net rate is 1/15 - 1/10 = 2/30 - 3/30 = -1/30. Therefore, the tank will never fill.

If a tank can be filled by a pipe in 15 hours and emptied by another pipe in 10

Practice Questions

Q1
If a tank can be filled by a pipe in 15 hours and emptied by another pipe in 10 hours, how long will it take to fill the tank if both pipes are opened together?
  1. 5 hours
  2. 6 hours
  3. 7 hours
  4. 8 hours

Questions & Step-by-Step Solutions

If a tank can be filled by a pipe in 15 hours and emptied by another pipe in 10 hours, how long will it take to fill the tank if both pipes are opened together?
  • Step 1: Understand that one pipe fills the tank and the other pipe empties it.
  • Step 2: Determine the rate at which the filling pipe works. It fills the tank in 15 hours, so its rate is 1/15 of the tank per hour.
  • Step 3: Determine the rate at which the emptying pipe works. It empties the tank in 10 hours, so its rate is 1/10 of the tank per hour.
  • Step 4: Calculate the net rate when both pipes are opened together. This is done by subtracting the emptying rate from the filling rate: (1/15) - (1/10).
  • Step 5: To subtract these fractions, find a common denominator. The common denominator for 15 and 10 is 30.
  • Step 6: Convert the rates to have the same denominator: (1/15) becomes (2/30) and (1/10) becomes (3/30).
  • Step 7: Now subtract the two rates: (2/30) - (3/30) = -1/30.
  • Step 8: The negative result (-1/30) means that the emptying pipe is stronger than the filling pipe, so the tank will never fill.
  • Rate of Work – Understanding how to calculate the rates at which the pipes fill and empty the tank.
  • Net Rate Calculation – Determining the combined effect of filling and emptying the tank simultaneously.
  • Time Management – Applying the concept of time taken to fill or empty a tank based on rates.
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