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Two taps can fill a tank in 20 mins and 30 mins respectively. There is an outlet tap at exactly half level of that rectangular tank which can pump out 50 litres of water per minute. If the outlet tap is open, then it takes 24 mins to fill an empty tank. What is the volume of the tank?

A. 

1800 litres

B. 

2400 litres

C. 

1200 litres

D. 

1500 litres

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Answer with explanation

Answer: Option C

Explanation

In one minute, 1/20 + 1/30 = 1/12 of the tank can be filled.
The whole can be filled in 12 minutes.
Outlet tap is taking 12 minutes to empty half tank at the speed of 50 litres per minute.
Volume of half tank = 50 x 12 = 600 liters.
Full tank = 1200 liters.

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