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Working in pairs, P and Q finish a job in 12 days, Q and R in 15 days, and R and P in 20 days. How many days would P need working alone?

Competition practiceTime & Work / Pipes
  • A30 days
  • B60 days
  • C20 days
  • D10 days

Step-by-Step Solution

Sum of pair rates = 1/12 + 1/15 + 1/20 = 12/60 = 1/5, which counts each person twice, so P + Q + R = 1/10 per day. P = 1/10 − 1/15 = 1/30, i.e. 30 days.
Answer: A) 30 days

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