Multiple choice

A can do a piece of work in 48 days. If B is 50% more efficient than A, then in how many days can B do the same work?

  1. 24

  2. 32

  3. 18

  4. 15
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Efficiency is inversely proportional to time. If B is 50% more efficient than A, B's efficiency is 1.5 times A's. Thus, B takes 48 / 1.5 = 32 days.

AI explanation

Since efficiency and time are inversely proportional, if B is 50% more efficient, the ratio of their efficiencies is 1 : 1.5 or 2 : 3. The ratio of their time taken is the inverse, which is 3 : 2. A takes 48 days, so B takes 48 * (2 / 3) = 32 days.

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