A swimming pool is filled by 3 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 3^{rd} pipe alone. The 2^{nd} pipe fills the pool 5 hours faster than the 1^{st} pipe & 4 hours slower than the 3^{rd} pipe. Find the time required by each pipe to fill the pool separately.

Let the volume of the pool = V

Let the time taken by second pipe to fill the pool = x hours

time taken by first pipe to fill the pool = (x+5) hours,

and time taken by third pipe to fill the pool = (x-4) hours.

In One hour,

First pipe can fill parts of volume of pool

Second pipe can fill parts of volume of pool

Third pipe can fill parts of volume of pool

Now, It is given that,

Time taken by first and second pipe simultaneously = Time taken by third pipe alone

Neglect the negative value.

Thus,* the time taken by second pipe to fill the pool = x hours=10 hours.*

*time taken by first pipe to fill the pool = (x+5) hours= 10+5=15 hours.*

*time taken by third pipe to fill the pool = (x-4) hours=1-4=6 hours.*

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