the
: Two taps A and B fill a tank in 10 hours and 12 hours respectively. An outlet C can empty
completely filled tank in 15 hours. How long will it take to fill the empty tank if all the thre
taps are opened simultaneously?
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the
: Two taps A and B fill a tank in 10 hours and 12 hours respectively. An outlet C can empty
completely filled tank in 15 hours. How long will it take to fill the empty tank if all the thre
taps are opened simultaneously?
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Step-by-step explanation:
The tank filled by tap A in 1 hour = 1/12th
Tap B fills the tank in 1 hour = 1/15th
A and B taps fill the tank in 1 hour = 1/12 + 1/15 = 9/60 = 3/20th
Pipe C empties the tank in 1 hour = 1/10th
When all the 3 pipes are open, the part of tank filled = 3/20 - 1/10 = 1/20th
i.e., 20 hours is the time taken to completely fill the tank.
The tank can't be filled when all the 3 taps are open.
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