WBCS.LIVE practice question

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

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

Answer options

  1. 30 days
  2. 40 days
  3. 60 days
  4. 70 days

Correct answer and explanation

Correct answer: 60 days

Explanation: āœ… Correct Answer: C. 60 days šŸ“š Explanation: Let their work rates be A and B. We know 30(A+B) = 1 (whole work). Also, 16A + 44B = 1. Equating these: 30A + 30B = 16A + 44B. This gives 14A = 14B, meaning A and B work at the same speed. Since they together take 30 days, B alone would take exactly twice as long, which is 60 days.