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A does half as much work as B in three-fourths of the time. If together they take 18 days, how many days does B alone take?

Competition practiceTime & Work / Pipes

A35 days
B40 days
C30 days
D45 days

Step-by-Step Solution

If B does 1 unit in time

t

, A does

\frac{1}{2}

unit in

\frac{3}{4} t

: A's rate is

\frac{2}{3}

of B's. Rates

\frac{2}{3} b + b = \frac{5}{3} b = \frac{1}{18}

, so

b = \frac{1}{30}

.

Answer: C) 30 days

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