Time & Work · Question 30 · Hard

Time & Work question 30

30 workers can complete a building job in 40 days. They start the work, but at the end of every 10 days, 3 workers leave. In how many days is the job completed?

  1. 45 days
  2. 50 days
  3. 48 days
  4. 52 days
Answer and explanation

Answer: B. 50 days

Explanation: Total work = 30 × 40 = 1,200 worker-days. Blocks of 10 days contribute 300, 270, 240, 210 and 180 worker-days, which add to exactly 1,200 after 5 blocks, i.e. 50 days.

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