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A, B and C can do a job in 10, 15 and 30 days. On day 1 A works alone, on day 2 A and B, on day 3 A, B and C, and the pattern repeats. When is the job finished?

Competition practiceTime & Work / Pipes
  • A6 days
  • B6 2/3 days
  • C7 days
  • D5 days

Step-by-Step Solution

Rates per day in thirtieths: 3, 5, 6 — 14 per cycle. After 6 days: 28. Day 7 (A alone, 3) needs 2: day. Total .
Answer: B) 6 2/3 days

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