Time & Work · Question 29 · Hard

Time & Work question 29

Lalit can finish a job in 12 days, Manoj in 15 days and Naveen in 20 days. Lalit works every day; he is helped by Manoj on the 1st, 3rd, 5th, … days and by Naveen on the 2nd, 4th, 6th, … days. In how many days is the job finished?

  1. 7 1/2 days
  2. 6 days
  3. 8 days
  4. 7 days
Answer and explanation

Answer: D. 7 days

Explanation: Each 2-day block does 2/12 + 1/15 + 1/20 = 17/60. After 6 days 51/60 is done; on day 7 Lalit and Manoj do 1/12 + 1/15 = 9/60, which finishes exactly the remaining 9/60. So 7 days.

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