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There are four pipes used to fill a tank at a constant rate. Altogether, the four pipes are able to fill up the tank in 4 hours. The owner wishes to reduce this time taken to 2 hours. How many more pipes filling up the tank at a constant rate will they need to install?123456

Question

There are four pipes used to fill a tank at a constant rate. Altogether, the four pipes are able to fill up the tank in 4 hours. The owner wishes to reduce this time taken to 2 hours. How many more pipes filling up the tank at a constant rate will they need to install?123456

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Solution

To solve this problem, we first need to understand the relationship between the number of pipes and the time it takes to fill the tank.

Step 1: Understand the current situation Currently, 4 pipes can fill the tank in 4 hours. This means that each pipe fills the tank at a rate of 1/4 of the tank per hour.

Step 2: Determine the desired situation The owner wants to fill the tank in 2 hours. This means that the pipes need to fill the tank at a rate of 1/2 of the tank per hour.

Step 3: Compare the current and desired situations The desired rate of filling the tank (1/2 per hour) is twice as fast as the current rate (1/4 per hour). Therefore, twice as many pipes are needed.

Step 4: Calculate the number of additional pipes needed Since 4 pipes are currently used, and twice as many are needed, the owner needs to install 4 more pipes.

So, the owner will need to install 4 more pipes to fill the tank in 2 hours.

This problem has been solved

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