WBCS.LIVE practice question

Ram and Shyam together can complete a work in 6 days. If each worked alone, it would take Shyam 5 days less than Ram. Ram can complete the work alone in

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 10 days
  2. 15 days
  3. 20 days
  4. 8 days

Correct answer and explanation

Correct answer: 15 days

Explanation: āœ… Correct Answer: B. 15 days šŸ“š Explanation: Let Ram take x days and Shyam take x-5 days. Their combined rate is 1/x + 1/(x-5) = 1/6, which leads to the quadratic equation x squared - 17x + 30 = 0. Solving this results in x = 15. Therefore, Ram alone would take exactly 15 days to finish the entire job.