P and Q can complete a work in 16 days and 24 days, respectively. They begin the work together, but Q leaves after 6 days. How many more days will P take to finish the remaining work? 1

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Accepted Answer

1. P's rate is $1/16$ and Q's rate is $1/24$. Together they do $1/16+1/24=5/48$ of work per day.
2. In 6 days they do $6	imes 5/48=5/8$. Remaining work is $1-5/8=3/8$.
3. P alone does $1/16$ per day. Time to finish is $(3/8)\div(1/16)=(3/8)	imes16=6$ days.
4. So P will take 6 more days.

FINAL_ANSWER: c

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