1.

A cylindrical water tank is completely filled at 10 am. There are two leakages in the tank. One of them is at bottom of tank and other is at half of the height of tank. Each of them drains out the water at 2 litres per minute. The tank gets emptied 11 am. Find the capacity of tank.1). 100 litres2). 120 litres3). 144 litres4). 160 litres

Answer»

Let the CAPACITY of TANK be T LITERS.

One of the leakages is at bottom of tank and other at half the height of tank.

⇒Till the tank gets half empty, both leakages take out water, and after that only one leakage take out water.

Rate of drainage of each leakage = 2 liters per minute

Time taken to make tank half empty = (T/2)/2 × 2

= (T/8) minutes.

Time taken to make tank empty from half empty = (T/2)/2 = (T/4) minutes.

Time between 11 am and 10 am = 1 hour = 60 minutes.

⇒ Total time taken to empty tank = 60 minutes

⇒ (T/8) + (T/4) = 60.

⇒ (3T/8) = 60

⇒ T = 160

∴ Capacity of tank is 160 liters


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