πŸ“’ Too many exams? Don’t know which one suits you best? Book Your Free Expert πŸ‘‰ call Now!

  • google app store apple app store
  • βœ–

      Question

      β€˜P’ and β€˜Q’ can do a piece of work in 12 days

      and 18 days, respectively. β€˜P’ started working alone and was replaced by β€˜Q’ after 4 days. In how many days can β€˜Q’ complete the remaining amount of work alone?
      A 8 days Correct Answer Incorrect Answer
      B 10 days Correct Answer Incorrect Answer
      C 12 days Correct Answer Incorrect Answer
      D 14 days Correct Answer Incorrect Answer

      Solution

      Let the total work be 36 units (LCM of 12 and 18) Efficiency of β€˜P’ = 36/12 = 3 units/day Efficiency of β€˜Q’ = 36/18 = 2 units/day Let the number of days taken by β€˜Q’ to finish the remaining amount of work be β€˜x’ ATQ, (3 Γ— 4) + 2x = 36 Or, 2x = 36 – 12 Or, 2x = 24 Or, x = 24/2 = 12 Therefore, time taken by β€˜Q’ to complete the remaining work alone = 12 days

      Practice Next
      More Pipes and cisterns Questions

      Relevant for Exams:

      ask-question