Question

Two taps together can fill the tank in 3 1/13
$3 \frac{1}{13} \: minutes$
The smaller tap take 3 minutes more than the bigger tap to fill the tank .How much time does each tap Take to fill the tank completely?​

Answer 1

$<b>$

Answer:

5

Step-by-step explanation:

Let one tap fill the tank in x hrs.

Therefore, other tap fills the tank in (x + 3) hrs.

Work done by both the taps in one hour is

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

(2x + 3)40 = 13(x2 + 3x)

13x2 – 41x – 120 = 0

(13x + 24)(x – 5) = 0

x = 5 (rejecting the negative value)

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