Multiple choice

A and B together can do a piece of work in 24 days. If A alone can do the same piece of work in 40 days, how many days will B take to complete the work alone?

  1. 30 days

  2. 36 days

  3. 45 days

  4. 60 days

  5. 48 days

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

If A and B complete the work in 24 days, their combined rate is 1/24. Given A's rate is 1/40, B's rate is 1/24 - 1/40 = 5/120 - 3/120 = 2/120 = 1/60. Thus, B takes 60 days.

AI explanation

Using the combined work formula, B's alone time equals the product of their combined time and A's alone time, divided by the difference between A's alone time and their combined time. The calculation is (24 multiplied by 40) divided by (40 minus 24). This results in 960 divided by 16, giving exactly 60 days.