Multiple choice

$A$, $B$ and $C$ can do a piece of work in $6$ days, $12$ days and $24$ days respectively . In what time will they all together do it ?

  1. $ 3\cfrac{3}{7} $
  2. $ 3\cfrac{3}{2} $
  3. $ 5\cfrac{3}{5} $
  4. $ 5\cfrac{3}{8} $
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A Correct answer
Explanation

The combined rate is 1/6 + 1/12 + 1/24 = (4+2+1)/24 = 7/24. Time taken = 24/7 = 3 and 3/7 days.

AI explanation

Using the fraction addition method, A's 1 day work is 1/6, B's is 1/12, and C's is 1/24. (A+B+C)'s 1 day work is (1/6 + 1/12 + 1/24) = 9/24 = 3/8. They will together complete the work in 8/3 days, which is 3 3/7 days.

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