Multiple choice

P and Q together can complete a piece of work in 12 days. They started work together for 5 days and then P alone finished the rest work in 14 days. P alone can complete the work in?

  1. 24 days

  2. 22 days

  3. 20 days

  4. 18 days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

P+Q's combined rate = 1/12 work per day. In 5 days, they complete 5/12 of work. Remaining work = 7/12, which P completes alone in 14 days. So P's rate = (7/12) ÷ 14 = 1/24. Therefore P alone completes work in 24 days.

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