Multiple choice

A and B can do a work in 12 days. B can do the same work in 18 days. In how many days A can complete the 2/3 of the same work?

  1. 36 Days

  2. 24 Days

  3. 16 Days

  4. 27 Days

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Since A and B together take 12 days and B alone takes 18 days, A's daily work rate is 1/12 - 1/18 = 1/36, meaning A can complete the entire work in 36 days. Therefore, A can complete 2/3 of the work in 36 * (2/3) = 24 days.

AI explanation

Using the combined work formula, if A and B finish the job in 12 days and B alone in 18 days, their one-day work equation is 1/12 = 1/18 + 1/A. Solving for A's one-day work gives 1/A = 1/12 - 1/18 = 1/36, so A takes 36 days for the whole job. To complete 2/3 of the same work, A requires (2/3) * 36 days. The total time required is 24 days.

Keep practicing — related questions