Multiple choice

Rahul takes three times the time taken by Ravi to finish a piece of work. If both work together they complete the work in 9 days, then the time taken by Rahul to complete the work is

  1. 36 days

  2. 12 days

  3. 9 days

  4. 27 days

  5. None of these
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A Correct answer
Explanation

Let Ravi take x days, Rahul takes 3x days. (1/x + 1/3x) = 1/9. (4/3x) = 1/9. 3x = 36. Rahul takes 36 days.

AI explanation

Let Ravi take x days to finish the work, so Rahul takes 3x days. Their one day work is 1/x and 1/3x, respectively. When working together, their combined one day work is 1/x + 1/3x = 4/3x, which equals 1/9. Solving 4/3x = 1/9 yields 3x = 36, meaning Rahul takes 36 days.

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