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A and B can finish a job in 36 days. A works twice as fast as B. If B leaves after 12 days, how long does A take to finish?

Class 8Sharing Work and WagesDirect and Inverse Proportions

A36 days
B24 days
C18 days
D32 days

Step-by-Step Solution

Rates 2

k, k

with

3 k = \frac{1}{36}

, so

k = \frac{1}{108}

. After 12 days:

\frac{1}{3}

done; A at

\frac{2}{108} = \frac{1}{54}

needs

\frac{2}{3} \times 54 = 36

days.

Answer: A) 36 days

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