If one pipe can fill a tank in 4 hours and another can fill it in 6 hours, how l

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Question: If one pipe can fill a tank in 4 hours and another can fill it in 6 hours, how long will it take to fill the tank if both pipes are opened together?

Options:

2 hours
3 hours
4 hours
5 hours

Correct Answer: 3 hours

Solution:

The combined rate is 1/4 + 1/6 = 3/12 + 2/12 = 5/12. Therefore, it will take 12/5 hours or 2.4 hours.

If one pipe can fill a tank in 4 hours and another can fill it in 6 hours, how l

Practice Questions

If one pipe can fill a tank in 4 hours and another can fill it in 6 hours, how long will it take to fill the tank if both pipes are opened together?

2 hours
3 hours
4 hours
5 hours

Questions & Step-by-Step Solutions

If one pipe can fill a tank in 4 hours and another can fill it in 6 hours, how long will it take to fill the tank if both pipes are opened together?

Step 1: Determine the rate at which each pipe fills the tank. The first pipe fills the tank in 4 hours, so its rate is 1/4 of the tank per hour.
Step 2: The second pipe fills the tank in 6 hours, so its rate is 1/6 of the tank per hour.
Step 3: Add the rates of both pipes together to find the combined rate. This is 1/4 + 1/6.
Step 4: To add 1/4 and 1/6, find a common denominator. The least common multiple of 4 and 6 is 12.
Step 5: Convert 1/4 to 3/12 and 1/6 to 2/12.
Step 6: Now add the two fractions: 3/12 + 2/12 = 5/12.
Step 7: The combined rate of both pipes is 5/12 of the tank per hour.
Step 8: To find out how long it takes to fill the entire tank, take the reciprocal of the combined rate: 1 divided by (5/12).
Step 9: This is the same as multiplying by the reciprocal: 1 * (12/5) = 12/5 hours.
Step 10: Convert 12/5 hours to a decimal: 12 divided by 5 equals 2.4 hours.

Rate of Work – Understanding how to calculate the combined work rate of multiple entities working together.
Fraction Addition – Adding fractions with different denominators to find a common rate.
Time Calculation – Converting the combined rate into time taken to complete a task.

If one pipe can fill a tank in 4 hours and another can fill it in 6 hours, how l

What’s inside this PDF?

If one pipe can fill a tank in 4 hours and another can fill it in 6 hours, how l

Practice Questions

Questions & Step-by-Step Solutions

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