Multiple choice

P can do a certain job in 12 days. Q is 50% more efficient than P. In how many days will Q alone complete the job?

  1. 8 days

  2. 4 days

  3. 12 days

  4. 24 days

  5. 5 days
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A Correct answer
Explanation

P's efficiency is 1 unit/day. Q is 50% more efficient, so Q's efficiency is 1.5 units/day. The total work is 12 days * 1 unit/day = 12 units. Time for Q = 12 units / 1.5 units/day = 8 days.

AI explanation

Using the efficiency method, if P takes 12 days, Q is 50 percent more efficient, meaning Q's efficiency is 1.5 times that of P. The time taken is inversely proportional to efficiency, so Q's time is 12 divided by 1.5, which is 8 days.

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