Multiple choice

A and B can do a piece of work in 40 days. They work together for 8 days and then A quits and B finishes the work in 36 more days. In how many days can B do the piece of work alone?

  1. 45

  2. 52

  3. 60

  4. 36
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Combined rate of A and B is 1/40 work per day. In 8 days, they complete 8/40 = 1/5 of work, leaving 4/5. B finishes this 4/5 in 36 days, so B's rate is (4/5)/36 = 1/45 per day. Therefore, B alone can complete the work in 45 days. The other options don't satisfy the work equation.

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