A swimming pool is filled by three pipes with uniform flow. The 1 pipe

1.	A swimming pool is filled by three pipes with uniform flow. The 1 pipe and 3" pipetogether ois filled by the 2nd pipe alone. 3rd pipe fill the pool five hour faster than 1t pipe andfour hours slower than 2nd pipe. Find the time required by cach pipe to fill the poclseparately.perating simultaneously fill the pool in the same time during which the pool
Answer» For volume V of the pool, the time taken by the pipe 1,2 and 3 respectively are: (x+5), x and (x-5) hours. And volume they can fill on the behalf of volume V are: => V/(x+5), V and V/(x-5) respectively. Now given that, time taken by third pipe is equal to the sum ofthe first two pipes. Therefore, V/(x+5) + V/x = V/(x-4) Solving we get, x = 10 and -2 Hence, time required by each pipe to fill the pool is: 10, 15 and 6 hours. Like my answer if you find it useful!

A swimming pool is filled by three pipes with uniform flow. The 1 pipe and 3" pipetogether ois filled by the 2nd pipe alone. 3rd pipe fill the pool five hour faster than 1t pipe andfour hours slower than 2nd pipe. Find the time required by cach pipe to fill the poclseparately.perating simultaneously fill the pool in the same time during which the pool

Answer»

For volume V of the pool,

the time taken by the pipe 1,2 and 3 respectively are:

(x+5), x and (x-5) hours.

And volume they can fill on the behalf of volume V are:

=> V/(x+5), V and V/(x-5) respectively.

Now given that,

time taken by third pipe is equal to the sum ofthe first two pipes.

Therefore,

V/(x+5) + V/x = V/(x-4)

Solving we get,

x = 10 and -2

Hence,

time required by each pipe to fill the pool is:

10, 15 and 6 hours.

Like my answer if you find it useful!