How Much Time will be Needed to Empty The Tank? If

A tap can empty a tank i 30 minutes. A second tap can empty it in 45 minutes. If both taps operate simultaneously, how much time is needed to empty the tank?

  1. 14 minutes
  2. 15 minutes
  3. 30 minutes
  4. 18 minutes
Anurag Mishra Professor Asked on 12th August 2015 in Maths.
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    Best answer

    Answer: (4) 18 minutes

    Explanation:-
    A tap can empty a tank = 30 minutes
    Then, A tap can empty a tank in a minute = 1/30

    A second tap can empty it = 45 minutes
    Then, second tap can empty in a minute = 1/45

    Both taps can empty the tank = 1/ 30 + 1/45
    = (3 + 2) /90
    = 5/90
    = 1/18
    Then, both tapes can empty the tank = 18 minutes.

    Hence, the answer is (4) 18 minutes.

    Anurag Mishra Professor Answered on 12th August 2015.
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