Given, 24 pipes can fill a tank in 112 mins.
We know that, lesser the number of pipes, more will be the time taken to fill the tank.
So, number of pipes(x)∝1Time(y)
∴ x1x2 = y2y1
Given,
x1 = 24 pipes
y1 = 112 mins
x2 = 24 − 10 = 14 pipes
and y2 = time taken by 14 pipes
⇒2414=y2112
⇒ 24 × 112 = 14 × y2
⇒ y2 = 24 × 11214 = 192 mins
So, it will take 192 minutes to fill the tank with 10 pipes closed.