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A takes 8 days and B 12 days for a job. They work on alternate days, A first. How many days does the job take?

Competition practiceTime & Work / Pipes

A10 days
B9 2/3 days
C9 1/2 days
D9 days

Step-by-Step Solution

Pair:

\frac{3 + 2}{24} = \frac{5}{24}

. 4 pairs (8 days):

\frac{20}{24}

. Day 9 (A):

\frac{23}{24}

. Day 10 (B) needs

\frac{1}{24}

of its

\frac{2}{24}

: half a day.

Answer: C) 9 1/2 days

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