Multiple choice

Rakshanth is twice as good a tradesman as Verma and together they finish a piece of work in 19 days. In how many days will Verma alone finish the work?

  1. 38

  2. 57

  3. 76

  4. 50

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

Rakshanth (R) = 2 * Verma (V). Combined rate = R + V = 3V. If they finish in 19 days, total work = 19 * 3V = 57V. Verma alone takes 57V / V = 57 days.

AI explanation

Since Rakshanth is twice as good a tradesman as Verma, the ratio of their efficiency is 2:1, making the ratio of the time they take 1:2. Let the time taken by Rakshanth be x days and the time taken by Verma be 2x days. Using the standard work formula, 1/x + 1/2x = 1/19, which simplifies to 3/2x = 1/19, so x = 28.5 days. Verma alone will take 2x days, which is 57 days.

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