Multiple choice

L can do a piece of work in 72 days. If M is 50% more efficient than L, then in how many days can M do the same work?

  1. 36 days

  2. 48 days

  3. 24 days

  4. 42 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

L takes 72 days. M is 50% more efficient, so M's efficiency = 1.5 * L's efficiency. Days taken by M = 72 / 1.5 = 48 days.

AI explanation

Using the efficiency formula, the time taken is inversely proportional to efficiency. Since M is 50% more efficient than L, the ratio of their efficiencies is 100 to 150, or 2 to 3. The ratio of their respective times to complete the work is 3 to 2. If L takes 72 days, M takes 72 multiplied by 2 and divided by 3, which equals 48 days.

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