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Home Aptitude Time and Work See What Others Are Saying!
  • Question
  • If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days what is time taken by 15 men and 20 boys?


  • Options
  • A. 4 days
  • B. 6 days
  • C. 7 days
  • D. 5 days

  • Correct Answer
  • 4 days 

    Explanation

    Given that 

    6 men and 8 boys can do a piece of work in 10 days 

    26 men and 48 boys can do the same in 2 days

     

    As the work done is equal,

    10(6M + 8B) = 2(26M + 48B)

    60M + 80B = 52M + 96B

    => M = 2B

    => B = M/2 ??(1)

     

    Now Put (1) in 15M + 20B

    => 15M + 10M = 25M

    Now, 6M + 8B in 10 days

    => (6M + 4M) 10 = 100M

    Then D(25M) = 100M

    => D = 4 days.

  • Tags: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

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      .02 =(......?.....)%

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