Multiple choice

Ruhi and Raj together complete a certain work in 15days and Ruhi alone can complete same work in 60 days. Inhow many days can Raj alone complete same work?

  1. 15 days

  2. 10 days

  3. 40 days

  4. 20 days

  5. 25 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Ruhi's rate = 1/60. Together rate = 1/15. Raj's rate = 1/15 - 1/60 = 4/60 - 1/60 = 3/60 = 1/20. Raj takes 20 days.

AI explanation

Using the combined work formula where 1/15 equals Ruhi's rate plus Raj's rate, and substituting Ruhi's rate of 1/60, we get 1/15 minus 1/60 equals Raj's rate. Finding a common denominator of 60 gives 4/60 minus 1/60, resulting in Raj's rate of 3/60, or 1/20. Therefore, Raj alone can complete the work in 20 days.

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