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Kavita is 25% more efficient than Lalit. Working together they finish a stock-taking task in 20 days. How many days would Lalit need on his own?

Competition practiceTime & Work / Pipes
  • A16 days
  • B25 days
  • C36 days
  • D45 days

Step-by-Step Solution

If Lalit's daily output is L, Kavita's is 1.25L, so together they give 2.25L = 1/20 of the task a day. Then L = 1/45, and Lalit alone needs 45 days. 36 days is Kavita's solo figure (1.25/45 = 1/36) — the quicker worker, not the one asked for. 25 days adds 25% to the joint 20 days; the percentage attaches to output, not to the pair's time. 16 days shrinks the joint 20 days by the same factor and is impossible, since neither can beat the pair.
Answer: D) 45 days

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