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?
[CAT level]
Explanation
Tap A fills 4 buckets in 24 minutes ⇒
Tap B fills 8 buckets in 1 hour ⇒
Tap C fills 2 bucket in 20 minutes ⇒
In 2 hours,
Number of buckets filled by tap A ⇒
Number of buckets filled by tap B ⇒
Number of buckets filled by tap C ⇒
Total number of buckets filled ⇒ (20 + 16 + 12) = 48 buckets
Total capacity of the tank = Total number of buckets filled X Capacity of each bucket
⇒ 48 x 5 = 240 L
Hence option A is correct.
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