How Much Time will They Take to Complete The Work?

A completes a piece of work in 6 hours. B completes the same work in 12 hours. If both A and B work together, then how much time will they take to complete the work?

  1. 6 hr
  2. 8 hr
  3. 12 hr
  4. 4 hr
Harsh Vardhan Professor Asked on 6th September 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 4 hours

    Explanation:-
    A can complete a piece of work = 6 hours
    A can work in an hour = 1/6

    B can complete the same work = 12 hours
    Then, B can work in an hour = 1/12

    Therefore, A and B can together the in an hour = 1/6 + 1/12
    = (2 + 1) /12
    = 3/12
    = 1/4

    Then, A and B can together complete the work = 4 hours

    Hence, the answer is (4) 4 hours.

    Anurag Mishra Professor Answered on 8th September 2015.
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