Multiple choice

A can finish a piece of the work in 16 days and B can finish it in 12 days. They worked together for 4 days and then A left. B finished the remaining work. For how many total number of days did B work to finish the work completely?

  1. 6

  2. 9

  3. 4

  4. 8
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A's 1 day work = 1/16, B's 1 day work = 1/12. Working together for 4 days, they complete 4(1/16 + 1/12) = 4(7/48) = 7/12 of the work. Remaining work = 5/12. B alone does this in (5/12)/(1/12) = 5 days. B worked for 4 days with A + 5 days alone = 9 days total.

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