A swimming pool is filled with three pipes

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A swimming pool is filled with three pipes with uniform flow. The first two pipes operating simultaneously, fill the pool in the same time during which the pool is filled by the third pipe alone. The second pipe fills the pool 5 h faster than the first pipe and 4 h slower than the third pipe. Find the time required by each pipe to fill the pool separately. Use app Login.

A swimming pool is filled with three pipes

A swimming pool is filled with three pipes with uniform flow. The first two pipes operating simultaneously, fill the pool in the same time during which the pool is filled by the third pipe alone. The second pipe fills the pool 5 h faster than the first pipe and 4 h slower than the third pipe. Find the time required by each pipe to fill the pool separately. Let the volume of the pool be V. Let x h be the time required by the second pipe alone to fill the pool. The parts of the pool filled by second pipe is V x. The parts of the pool filled by third pipe is V x - 4. Suppose the time taken by the first and second pipes to fill the pool simultaneously is t hours. Also, Volume of third pipe to fill the pool is V x - 4 t. The time required by second pipe is 10 hours.

A, B and C complete a piece of work in 25, 20 and 24 days respectively Tuck at Dartmouth. Signing up is freequick, and confidential.

Use app Login. A swimming pool is fitted with three pipes with uniform flow. The first two pipes operating simultaneously fill the pool in the same time as that taken by the third pipe alone. The second pipe fills the pool 5 h o u r s faster than the first pipe and 4 h o u r s slower than the tired pipe. Find the time required by the third pipe to fill the pool. Open in App.

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A swimming pool is filled with three pipes

However, in some instances in addition to inlet pipes, the question also mentions outlet pipes. A pipe connected to the cistern is called an inlet pipe or an outlet pipe, accordingly as it fills it or empties it respectively. To make the principle of work and time to work here, we assume that the inlet pipes are doing positive work and the outlet pipes are doing negative work. Let us take some varieties of questions to understand the method, tricks, and shortcuts to solve them. Question 1: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How much time will it take to fill the cistern if all the three are opened at the same time?

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The time required by the first pipe is a. A cistern which could be filled in 9 hours takes one hour more to be f Mobile Apps. If two pipes function simultaneously, a reservoir will be filled in 12 hours. A tank is filled by three pipes with uniform flow. Vikas TU Points. Cancel Notify me. Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. Conceptual Gap. The 2 nd pipe fills the pool in 5 hours faster than the 1 st pipe and 4 hours slower than the 3 rd pipe. CAT Data Sufficiency.

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If the pool is e. The first two pipes operating simultaneously fill the pool in the same time as that taken by the third pipe alone. View Solution. Vikram Shah Consulting. Hey there! A pipe Can fill a tanke in 10 hours. Find the time that each pipe will take to fill the cistern. The first two pipes operating simultaneously fill the pool in the same time during which the pool is filled by the third pipe alone. GMAT vs. Go to My Error Log Learn more. Please choose valid name. View courses by askIITians. Sign in! The first two pipes operating simultaneously fill the kund at the same time during which the kund is filled by the third pipe alone.