Multiple choice

P can do a piece of work in 36 days. If Q is 50% more efficient than P, then in how many days can Q do the same work?

  1. 18

  2. 24

  3. 12

  4. 21
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

P's rate = 1/36 work/day. Q is 50% more efficient, so Q's rate = 1.5 * (1/36) = 1/24. Q takes 24 days.

AI explanation

P can do the work in 36 days, meaning P's efficiency is 1/36 of the work per day. Since Q is 50% more efficient, Q's daily work is 1/36 + (0.5 * 1/36) = 1.5/36, which simplifies to 1/24. Using the basic Time and Work formula, the time taken by Q to complete the work is the reciprocal of his daily work, resulting in 24 days.

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