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There are two pipes in a tank. Pipe A is for filling the tank and Pipe B is for emptying the tank. If A can fill the tank in 15 hours and B…

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There are two pipes in a tank. Pipe A is for filling the tank and Pipe B is for emptying the tank. If A can fill the tank in 15 hours and B can empty the tank in 20 hours then find how many hours will it take to completely fill a half empty tank?
  • A45
  • B40
  • C30
  • D35
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Discussion 1

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CCommunity
⇒ Work done by A in 1 hour = 1/15

⇒ Work done by B in 1 hour = - 1/20

⇒ Total work done by A and B in 1 hour = 1/15 + (- 1/20) = 1/15 – 1/20 = 1/60

⇒ They will fill the full tank in 60 hours

∴ Half tank can be fill in 30 hours