My Learning Cart
?
Categories
Account

Three pipes can fill a tank in 6, 8, and 12 hours respectively. If all three pip

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

What’s inside this PDF?

Question: Three pipes can fill a tank in 6, 8, and 12 hours respectively. If all three 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: 3 hours

Solution: 

The combined rate is 1/6 + 1/8 + 1/12 = 1/3. Therefore, it will take 3 hours to fill the tank.

Three pipes can fill a tank in 6, 8, and 12 hours respectively. If all three pip

Practice Questions

Q1
Three pipes can fill a tank in 6, 8, and 12 hours respectively. If all three 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

Three pipes can fill a tank in 6, 8, and 12 hours respectively. If all three pipes are opened together, how long will it take to fill the tank?
Correct Answer: 3 hours
  • Step 1: Determine the rate at which each pipe fills the tank. The first pipe fills the tank in 6 hours, so its rate is 1/6 of the tank per hour.
  • Step 2: The second pipe fills the tank in 8 hours, so its rate is 1/8 of the tank per hour.
  • Step 3: The third pipe fills the tank in 12 hours, so its rate is 1/12 of the tank per hour.
  • Step 4: Add the rates of all three pipes together: 1/6 + 1/8 + 1/12.
  • Step 5: To add these fractions, find a common denominator. The least common multiple of 6, 8, and 12 is 24.
  • Step 6: Convert each fraction to have the common denominator of 24: 1/6 = 4/24, 1/8 = 3/24, and 1/12 = 2/24.
  • Step 7: Now add the fractions: 4/24 + 3/24 + 2/24 = 9/24.
  • Step 8: Simplify 9/24 to 3/8. This means together, the pipes fill 3/8 of the tank in one hour.
  • Step 9: To find out how long it takes to fill the entire tank, take the reciprocal of 3/8, which is 8/3 hours.
  • Step 10: Convert 8/3 hours into hours and minutes. 8/3 hours is 2 hours and 40 minutes.
  • Rate of Work – Understanding how to calculate the combined work rate of multiple entities working together.
  • Fraction Addition – Applying the concept of adding fractions to find a common rate.
  • Time Calculation – Determining the total time taken based on the combined rate of work.
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