Question

A pump can fill a tank in 2 hours. Due to a leak in the tank it takes 2 hours 20 minutes to fill the tank. The leak can empty the full tank in​

Answer 1

Answer:

14 hours

Step-by-step explanation:

For such questions there is an easy way.

• Convert hours into minutes

We know the tank without the hole fills up in 120 minutes and with it in 140 minutes.

• Taking LCM of 120 and 140 we get 840.

We are taking LCM so that the further calculations would be easier.

Take the capacity of the tank as 840 liters.

Let x be the speed at which the tank is filed an y be the speed at which it is emptied.

Thus, we get two equations  

• 120*x=840

• 140(x+y)=840

Solving them gives us

X=7 ltr/min

Y=-1 ltr/min

Y is coming out to be negative as it is the speed at which track is emptied.

The time taken to empty the tank is given by

840/1=840min=14 hours