📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      P and Q can complete a piece of work individually in 12

      days and 20 days, respectively. They start working together, but after 6 days, Q leaves the work. P continues and completes the remaining work alone. How many total days did it take to finish the entire work?
      A 9.6 days Correct Answer Incorrect Answer
      B 7.2 days Correct Answer Incorrect Answer
      C 8.4 days Correct Answer Incorrect Answer
      D 8 days Correct Answer Incorrect Answer

      Solution

      Let total work = 60 units (LCM of 12 and 20)
      Efficiency of 'P' = (60/12) = 5 units/day
      Efficiency of 'Q' = (60/20) = 3 units/day
      Amount of work completed by 'P' and 'Q' together in 6 days = 6 X (5 + 3) = 48 units
      Remaining work = 60 - 48 = 12 units
      Time taken by 'P' to complete the remaining work = (12/5) = 2.4 days
      Required time taken = 6 + 2.4 = 8.4 days

      Practice Next
      More Time and work Questions

      Relevant for Exams:

      ask-question