Question

twice the square
u
n
2) Two taps A & B together fill a swimming pool in 15 hours. Taps A and B are kept
open for 12 hours and then tap B is closed. It takes another 8 hours for the
swimming pool to be filled. How many hours does each tap required to fill the
swimming pool?​

Answer 1

Step-by-step explanation:

Let the time taken by second tap be x

time taken by first tap x+5

time taken by the third tap x-4

1/x+5 +1/x =1/x-4

x+x+5/(x+5)(x) = 1/x-4

2x^2 - 8x + 5x - 20 = 0

x^2 - 8x - 20 = 0

x ( x - 10 ) + 2 ( x - 10 ) = 0

(x+2)=0

(x-10)=0

x=10 , x= -2 reject