Multiple choice

$A, B$ and $C$ can complete a price of work in $24,6$ and $12$ days respectively. Working together, they will complete the same work in:

  1. $\cfrac{1}{24}$ day
  2. $\cfrac{7}{24}$ day
  3. $3\cfrac{3}{7}$ days
  4. $4$ days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Combined rate = 1/24 + 1/6 + 1/12 = (1 + 4 + 2) / 24 = 7/24. Time = 24/7 = 3 and 3/7 days.

AI explanation

Using the standard work rate formula, the daily work rates of A, B and C are 1/24, 1/6 and 1/12 respectively. Adding these fractions gives a combined daily rate of 1/24 plus 4/24 plus 2/24, totaling 7/24 of the work per day. The total time taken to complete the work is the reciprocal of their combined rate, which is 24/7 days. This converts to 3 and 3/7 days.

Keep practicing — related questions