A tank has two inlets: A and B. A alone takes 2 hours and B alone takes 3 hours to fill the empty tank completely when there is no leakage. A leakage was caused which would empty the full tank completely in ‘X’ hours when no inlet is open. Now, when only inlet A was opened, it took 3 hours to fill the empty tank completely. How much time will B alone take to fill the empty tank completely? (in hours)

  • 4.5
  • 7.5
  • 3
  • 9
  • 6
  • Explanation:

    When tap A and X are opened,

    1/2-1/x=1/3

    1/x=1/2-1/3

    1/x=1/6

    x=6

    Filled part of tank in 1 hour by taps B and X

    =1/3-1/6=2-1/6

    =1/6

    ∴ Required time = 6 hours

A tank has two inlets: A and B. A alone takes 2 hours and B alone takes 3 hours to fill the empty ta
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