Multiple choice

A and B together can do a piece of work in 24 days. If A does half of the work in 3/4 of the time, then in how many days can B alone do the work?

  1. 45 days

  2. 56 days

  3. 40 days

  4. 72 days

  5. None of the above
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

A and B together complete the work in 24 days, meaning their combined 1-day work is 1/24 of the total work. If A completes half the work in 3/4 of the total time, A's 1-day work is (1/2) divided by (3/4 multiplied by 24), which equals 1/36. Subtracting A's 1-day work from their combined work, B's 1-day work is 1/24 minus 1/36, which equals 1/72. Therefore, B alone can do the work in 72 days.

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