Multiple choice

A and B can do a piece of work in 12 days. If the time taken by A is 3 2 times the time taken by B to do the work individually, then find the number of days in which A can do the work individually.

  1. 15 days

  2. 20 days

  3. 25 days

  4. 30 days

  5. None of these

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

Interpreting the stated time ratio as A's time being 3/2 times B's time, let B take t days and A take 3t/2 days. Their combined rate is 1/t + 2/(3t) = 1/12, giving t = 20 and A's time as 30 days.