Multiple choice

A can do a piece of work in 24 days. If B is 60% more efficient than A, then how many days are required by B to do the same work?

  1. 12

  2. 15

  3. 17

  4. 18

  5. 20

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A efficiency = 1/24. B efficiency = 1.6 * (1/24) = 1.6/24 = 1/15. Days for B = 15.

AI explanation

Using the efficiency formula, if B is 60 percent more efficient than A, the ratio of their efficiencies is 1 to 1.6, which is 5 to 8. The ratio of the time taken by A and B is inversely proportional to their efficiency, making it 8 to 5. Given that A takes 24 days, 1 part equals 3 days, so B takes 5 parts multiplied by 3 days, which is 15 days.