Multiple choice

Ravi and Param were given a work to do. If they do the work together, they can finish it in 30 days. Param can do the same work in 40 days. How many days will Ravi take to complete the same work alone?

  1. 150

  2. 120

  3. 70

  4. 50

  5. 20
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

1/R + 1/P = 1/30. 1/P = 1/40. 1/R = 1/30 - 1/40 = (4-3)/120 = 1/120. So R = 120 days.

AI explanation

Let the total work be the least common multiple of 30 and 40, which is 120 units. The combined efficiency of Ravi and Param is 120 divided by 30, equaling 4 units per day. Param's individual efficiency is 120 divided by 40, equaling 3 units per day. Ravi's individual efficiency is 4 minus 3, which is 1 unit per day. Therefore, Ravi alone will take 120 divided by 1 days to complete the work, resulting in 120 days.

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