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A can complete a work in 20 days and B in 30 days. A works alone for the first 5 days, then B joins and they finish the remaining work together. What is the total number of days taken to complete the work?

Competition practiceTime & Work / Pipes
  • A14
  • B13
  • C15
  • D12

Step-by-Step Solution

In 5 days A does 5/20 = 1/4; remaining 3/4 at combined rate 1/20 + 1/30 = 1/12 takes (3/4) ÷ (1/12) = 9 days; total = 5 + 9 = 14 days.
Answer: A) 14

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