Question

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 3rd pipe alone. the 2nd pipe fills the pool 5 hours faster than the 1st pipe & 4 hours slower than the 3rd pipe. find the time required by each pipe to fill the pool separately.

Answer 1

Answer:

15

Step-by-step explanation:

Explanation:

Suppose, first pipe alone takes x hours to fill the tank .

Then, second and third pipes will take (x -5) and (x - 9) hours respectively to fill the tank.

As per question, we get  

1x+1x−5=1x−9=>x−5+xx(x−5)=1x−9=>(2x−5)(x−9)=x(x−5)=>x2−18x+45=0

After solving this euation, we get  

(x-15)(x+3) = 0,

As value can not be negative, so x = 15