Multiple choice

Ram and Shyam together can do a work in $16$ days. Shyam takes twice time as Ram takes to do the same work. In how many days Ram alone can complete that work.

  1. $16$ days
  2. $32$ dyas
  3. $24$ days
  4. $40$ days
  5. $48$ days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Ram take x days, then Shyam takes 2x days. (1/x) + (1/2x) = 1/16. (3/2x) = 1/16. 2x = 48, so x = 24.

AI explanation

Let Ram take x days to complete the work, so Shyam takes 2x days. Using the sum of their individual 1-day work amounts, (1/x) + (1/2x) = 1/16, which simplifies to 3/2x = 1/16. Solving for x gives 2x = 48, so x = 24. Ram alone can complete the work in 24 days.

Keep practicing — related questions