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Question
A tank is connected to three pipes – Pipe A, B, and C. Pipe A can fill the tank in 6 hours, B can fill the tank in 8 hours and Pipe C can empty the full tank in 12 hours. How much time will it take to fill the tank completely if all three pipes are working together?
Options
4 hours
4 hours 48 minutes
5 hours
5 hours 20 minutes
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Solution
4 hours 48 minutes
Explanation:
A portion of a tank filled in 1 hour, when pipe A, B, and C are working together
`=1/6+1/8-1/12`
`=(4+3-2)/24=5/24` tank
Hence, the time required to fill the tank`=24/5` hours
= 4.8 hours
= 4 hours 48 minutes.
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