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    A water tank has one inlet, A and one outlet, B. A takes 5 hours to fill the empty tank, when B is not open and B takes 8 hours to empty the full tank, if the tank  is three fifth full, how much time will it take to fill the tank completely when both A and B are opened simultaneously ?(in hours)

  • 6 1/3
  • 4 1/3
  • 8 1/3
  • 5 1/3
  • 7 1/3
  • Explanation:

    If the tank is 3/5th full, then remaining empty tank will be = 1-3/5 = 2/5th

    A and B can fill the empty tank in = 5×8/8-5 = 40/3 hour

    Then 2/5th tank fill in =  40/3×2/5 = 5 1/3 hour

     


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