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A water tank has three taps A, B and C. A fills four buckets in 24 minutes, 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 liters of water, what is the capacity of the tank?
120 lts
240 lts
300 lts
360 lts
A fills 4 buckets in 24 minutes. Thus, A fills 1 bucket in 24/4 = 6 minutes
Similarly, B fills 8 buckets in 1 hour. Thus B fills 1 bucket in 60/8 minutes
Similarly, C fills one bucket in 20/2 = 10 minutes
In 2 hours,
Number of buckets filled by A will be = 120/6 = 20 buckets
Number of buckets filled by B will be = 120/ (60/8) = (120 * 8) / 60 = 16 buckets
Number of buckets filled by C will be = 120 / 10 = 12 buckets
Total number of buckets filled = (20 + 16 + 12) = 48 buckets
Total amount of water coming out of the tank = capacity of the tank = 48 * 5 liters = 240 liters
Hence, option 2 is the correct answer.
By: Sandeep Dubey ProfileResourcesReport error
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