Multiple choice general knowledge math & puzzles

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

  1. 6 days

  2. 4 days

  3. 8 days

  4. 12 days

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

Let A take x days. Then B takes x/2 and C takes x/3. Combined rate: 1/x + 2/x + 3/x = 1/2. So 6/x = 1/2, which means x = 12. B's time is x/2 = 6 days. C's time would be 4 days. A's time is 12 days.