Question

Two taps together can fill a tank completely nutes. The smaller
tap takes 3 minutes more than the bigger tap to fill the tank. How
much time does each tap take to fill the tank completely ?
what would be the entire equation

Answer 1

Answer:

One tap 5 minutes and another 8 minutes

Step-by-step explanation:

Given that two tap can fill a tank in 3 1/13 minutes = 13/40 (converting into proper fraction). So in 1 minute both the taps can fill 13/40th of the tank.

Therefore we assume that,

One tap can fill the tank in x minutes [in 1 minute 1/x] and the other in (x+3) minutes [in 1 minute 1/(x+3)] respectively,

Work done by the taps in 1 minute is

1/x + 1/(x+3) = 13/40

(2x + 3)40 = 13(x² + 3x)

80x + 120 = 13x² + 39x

13x²+39x -80x -120 =0

13x² – 41x – 120 = 0

(13x + 24)(x – 5) = 0

x = 5 ( ignoring the negative value)

Hence, one tap takes 5 minutes to fill the tank and another 8 minutes to fill the tank separately.