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  • Question
  • A can build a wall in 16 days while B can destroy it in 8 days. A worked for 5 days. Then B joined with A for the next 2 days. Find in how many days could A build the remaining wall ?


  • Options
  • A. 12 days
  • B. 14 days
  • C. 13 days
  • D. 16 days

  • Correct Answer
  • 13 days 

    Explanation

    Now, Total work = LCM(16, 8) = 48

    A's one day work = + 48/16 = + 3

    B's one day work = - 48/8 = -6

    Given A worked for 5 days to build the wall => 5 days work = 5 x 3 = + 15

    2days B joined with A in working = 2(3 - 6) = - 6

    Remaining Work of building wall = 48 - (15 - 6) = 39

    Now this remaining work will be done by A in = 39/3 = 13 days.

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

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