A water tank has three taps M, N and O. M fills 5 buckets in 40 minutes, N fills 7 buckets in 50 minutes and O fills 1 buckets in 30 minutes. If all the taps are opened together, a full tank is emptied in 3 hours. If a bucket can hold 6 liters of water, what is the capacity of the tank?
Explanation
Tap M fills 5 buckets in 40 minutes ⇒
Tap N fills 7 buckets in 49 minutes ⇒
Tap O fills 1 bucket in 30 minutes ⇒
In 3 hours,
Number of buckets filled by tap M ⇒
Number of buckets filled by tap N ⇒
Number of buckets filled by tap O ⇒
Total number of buckets filled ⇒ (22.5 + 25.7 + 6) = 54.2 buckets
Total capacity of the tank = Total number of buckets filled X Capacity of each bucket
⇒ 54.2 x 6 = 325.2 L
Hence option B is correct.
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