Question

A pump can fill a tank in 3 hours but due to a leak it takes 3 ½to fill it, then in how much time filled tank can be empty through
the leak?
​

Answer 1

Answer:

It will take 30 hours to empty the tank

Step-by-step explanation:

Time needed to fill the tank without the leak = 3 hours = 180 mins

⇒ 1 min = 1/180

.

Time needed to fill the tank with the leak = 3 hours 20 mins = 200 mins

⇒ 1 min 1/200

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STEP 1: Find the speed of the leak

1 min = 1/180 - 1

/200 = 1/1800 of the tank

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STEP 2: Find the amount of time needed to empty the tank:

1 min = 1/1800 of the tank

.

1/1800 of the tank = 1 min

1800/1800 of the tank = 1 x 1800 mins

1 tank = 1800 mins = 30 hours

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