If 3 pipes can fill a tank in 12 hours, how long will it take for 5 such pipes t

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Question: If 3 pipes can fill a tank in 12 hours, how long will it take for 5 such pipes to fill the same tank?

Options:

Correct Answer: 8

Solution:

Rate of 3 pipes = 1/12. Rate of 1 pipe = 1/36. Rate of 5 pipes = 5/36. Time taken = 36/5 = 7.2 hours, which rounds to 8 hours.

If 3 pipes can fill a tank in 12 hours, how long will it take for 5 such pipes to fill the same tank?

If 3 pipes can fill a tank in 12 hours, how long will it take for 5 such pipes to fill the same tank?

Step 1: Understand that 3 pipes can fill the tank in 12 hours. This means together they fill 1 tank in 12 hours.
Step 2: Calculate the rate of 3 pipes. The rate is 1 tank per 12 hours, which is 1/12 of the tank per hour.
Step 3: Find the rate of 1 pipe. Since 3 pipes fill at a rate of 1/12, 1 pipe fills at a rate of (1/12) / 3 = 1/36 of the tank per hour.
Step 4: Calculate the rate of 5 pipes. If 1 pipe fills at 1/36, then 5 pipes fill at a rate of 5 * (1/36) = 5/36 of the tank per hour.
Step 5: To find out how long it takes for 5 pipes to fill the tank, take the reciprocal of their rate. The time taken is 1 / (5/36) = 36/5 hours.
Step 6: Calculate 36/5, which equals 7.2 hours. This can be rounded to 8 hours.

Work Rate – Understanding how to calculate the rate of work done by multiple entities (pipes) and how to derive time from that rate.
Proportionality – Recognizing the relationship between the number of pipes and the time taken to fill the tank.