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A can do a work in 15 days and B in 10 days. They work on alternate days, with A starting on the first day. In how many days will the work be completed?

Competition practiceTime & Work / Pipes
  • A11
  • B13
  • C12
  • D12.5

Step-by-Step Solution

Take total work as 30 units; A does 2 units/day, B does 3 units/day, so each 2-day pair adds 5 units. Six pairs (12 days) give exactly 30 units.
Answer: C) 12

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