One tap can fill a tank in 16 hours and another can empty the tank in 40 hours. A third tap is also, connected to the tank. If all the three taps are opened together, the tank is filled in 30 hours. At what rate does the third pipe work?
Explanation:
Let the third tap fill the tank in x hours.
When the three taps are opened together, part of the tank filled in 1 hour = 1/30
∴ 1/16 - 1/40 + 1/x = 1/30
∴ 1/x = 1/30 - 1/16 + 1/40
∴ 1/x = (8 - 15 + 6)/240
∴ 1/x = -1/240
∴ The third pipe empties the tank in 240 hours.
Hence, option (e).
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