A water tank has three taps A, B, and C. A fills four buckets in 24 mm, B fills 8 buckets in 1 hour and C fills 2 buckets in 20 minutes. If all the taps are opened together a full tank is emptied in 2 hours. If a bucket can hold 5 litres of water, what is the capacity of the tank?

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Yuvraj Patil

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Since a bucket holds 5 litres of water, Tap A discharges 20 litres of water in 24 minutes or 5/6 litres of water in 1 minute. Tap B discharges 40 litres in 1 hours or 2/3 litres in 1 minute. Tap C discharges 10 litres in 20 minutes or 1/2 litres in 1 minute. If A, B & C are all opened simultaneously,...
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Since a bucket holds 5 litres of water, Tap A discharges 20 litres of water in 24 minutes or 5/6 litres of water in 1 minute. Tap B discharges 40 litres in 1 hours or 2/3 litres in 1 minute. Tap C discharges 10 litres in 20 minutes or 1/2 litres in 1 minute. If A, B & C are all opened simultaneously, total discharge = (5/6 + 2/3 + 1/2) = 2 litres in 1 minute. So in 2 hours after all taps are opened, the discharge would be 240 litres, which should be the capacity of the tank. read less
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