Multiple choice

X and Y together can do a piece of work in $8$ days, which X alone can do in $12$ days. In how many days can Y do the same work alone?

  1. $12$ days
  2. $24$ days
  3. $36$ days
  4. $16$ days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

X+Y rate = 1/8. X rate = 1/12. Y rate = 1/8 - 1/12 = 3/24 - 2/24 = 1/24. Y takes 24 days.

AI explanation

Using the standard work formula, take the Least Common Multiple of 8 and 12, which is 24, as the total units of work. X and Y together complete 3 units per day and X alone completes 2 units per day, meaning Y alone completes 1 unit per day. Dividing the 24 total units by Y's 1 unit per day means Y requires 24 days to complete the work alone.

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