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Home Aptitude Time and Work See What Others Are Saying!
  • Question
  • Time taken by P alone to finish a work is 50% more than the time taken by P and Q together. Q is thrice as efficient as R. If Q and R together can complete the work in 22.5 days, then how many days will P alone take to complete the work ?


  • Options
  • A. 17 days
  • B. 11 days
  • C. 15 days
  • D. 16 days

  • Correct Answer
  • 15 days 

    Explanation

    We know that Time is inversely proportional to Efficiency

    Here given time ratio of P & P+Q as

    P/P+Q = 150/100 = 3:2

    Efficiency ratio of P & Q as

    P:Q = 2:1 ....(1)

    Given Efficiency ratio of Q & R as

    Q:R = 3:1 ....(2)

    From (1) & (2), we get

    P:Q:R = 6:3:1

    P alone can finish the work in

    22.5(3+1)/6 = 15 days.

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

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