Multiple choice

A can do a piece of work in 15 days, which B can do in 10 days. B worked at it for 8 days. A can finish the remaining work in

  1. 2 days

  2. 3 days

  3. 5 days

  4. 10 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A's rate is 1/15, B's rate is 1/10. B works for 8 days, doing 8/10 = 4/5 of the work. Remaining work is 1/5. A finishes it in (1/5) / (1/15) = 3 days.

AI explanation

Using the total work method, the least common multiple of 15 and 10 is 30 units, making A's daily work 2 units and B's daily work 3 units. When B works for 8 days, the work completed is 8 * 3 = 24 units. This leaves a remaining balance of 30 - 24 = 6 units. Since A completes 2 units per day, the time required for A to finish the remaining work is 6 / 2 days. A can finish the remaining work in 3 days.

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