Multiple choice

Ashok takes twice as much time as Arun does and thrice as much as Alok does to finish a piece of work. They together finish the work in one day. Find the time taken by Ashok, Arun and Alok to finish the work (in days).

  1. 6, 3, 2

  2. 4, 8, 1

  3. 10, 4, 5

  4. 9, 3, 6

  5. 9, 5, 4
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A Correct answer
Explanation

Let time for Ashok be T. Arun = T/2, Alok = T/3. Rates: 1/T + 2/T + 3/T = 1/1 => 6/T = 1 => T=6. Arun = 3, Alok = 2. Ashok, Arun, Alok = 6, 3, 2.

AI explanation

Assume Ashok takes 6x days to finish the work, making his one day work 1/6x. Since Ashok takes twice as much time as Arun, Arun takes 3x days, and since Ashok takes thrice as much time as Alok, Alok takes 2x days. Their combined one day work is x/6x + 2x/6x + 3x/6x, which equals 6x/6x, or 1. This satisfies the condition that they finish the work in one day, making their individual times 6 days, 3 days, and 2 days respectively.

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