Multiple choice

Nitin and Nirdosh together can complete a piece of work in 6 days. If Nitin alone can complete the same work in 24 days; in how many days can Nirdosh alone complete that work?

  1. 8

  2. 12

  3. 14

  4. 15

  5. none of these
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A Correct answer
Explanation

Let Nitin's rate be 1/24 and the combined rate be 1/6. Nirdosh's rate is 1/6 - 1/24 = 4/24 - 1/24 = 3/24 = 1/8. Thus, Nirdosh takes 8 days.

AI explanation

Let the total work be the least common multiple of 6 and 24, which is 24 units. Nitin and Nirdosh together complete 4 units per day, while Nitin alone completes 1 unit per day. Nirdosh alone completes 3 units per day, meaning he takes 24 units divided by 3 units per day, resulting in 8 days.

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