Ram completes a work in 24 hours. Madhav does it in 36 hours

Ram completes a work in 24 hours. Madhav does it in 36 hours. If both work together, in how many hours will the complete the job?

  1. 14 hours and 24 minutes
  2. 18 hours and 30 minutes
  3. 24 hours and 48 minutes
  4. 30 hours
Anurag Mishra Professor Asked on 30th April 2016 in Maths.
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  • 1 Answer(s)

    Answer: (1) 14 hours and 24 minutes 

    Solution:-
    Ram can complete a work = 24 hours 
    Therefore, Ram can do same work in an hour = 1/24

    Madhav can complete same work = 36 hours 
    Therefore, Madhav can do same work in an hour = 1/36

    Then, Ram and Madhav both can do same work in an hour = 1/24 + 1/36
     = (3 + 2)/72 
     = 5/72 

    So, Both together can complete the same work = 75/5
     = 14 hour and 24 minutes. 

    Hence, the correct answer is option (1) 14 hours and 24 minutes. 

    Anurag Mishra Professor Answered on 1st May 2016.
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