My Learning Cart
?
Categories
Account

Pipe A can fill a tank in 15 hours, and pipe B can fill the same tank in 20 hour

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

What’s inside this PDF?

Question: Pipe A can fill a tank in 15 hours, and pipe B can fill the same tank in 20 hours. If both pipes are opened together, how long will it take to fill the tank?

Options:

  1. 6 hours
  2. 8 hours
  3. 10 hours
  4. 12 hours

Correct Answer: 8 hours

Solution: 

The combined rate is 1/15 + 1/20 = 7/60. Therefore, it will take 60/7 hours, approximately 8.57 hours to fill the tank.

Pipe A can fill a tank in 15 hours, and pipe B can fill the same tank in 20 hour

Practice Questions

Q1
Pipe A can fill a tank in 15 hours, and pipe B can fill the same tank in 20 hours. If both pipes are opened together, how long will it take to fill the tank?
  1. 6 hours
  2. 8 hours
  3. 10 hours
  4. 12 hours

Questions & Step-by-Step Solutions

Pipe A can fill a tank in 15 hours, and pipe B can fill the same tank in 20 hours. 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 Pipe A can fill the tank in 15 hours, its rate is 1 tank per 15 hours, or 1/15 of the tank per hour.
  • Step 2: Determine the rate at which Pipe B fills the tank. Since Pipe B can fill the tank in 20 hours, its rate is 1 tank per 20 hours, or 1/20 of the tank per hour.
  • Step 3: Add the rates of both pipes together 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 a fraction with a denominator of 60. This is (1 * 4) / (15 * 4) = 4/60.
  • Step 6: Convert 1/20 to a fraction with a denominator of 60. This is (1 * 3) / (20 * 3) = 3/60.
  • Step 7: Now add the two fractions: 4/60 + 3/60 = 7/60.
  • Step 8: The combined rate of both pipes is 7/60 of the tank per hour.
  • Step 9: 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.
  • Step 10: Calculate 60/7, which is approximately 8.57 hours.
  • Work Rate – Understanding how to calculate the combined work rate of two or more entities working together.
  • Fraction Addition – Adding fractions with different denominators to find a common rate.
  • Time Calculation – Calculating the total time taken based on the combined work 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