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On a job, A alone needs 6 days and B alone needs 8 days. They start together; after 2 days A leaves. How many more days does B need?

Class 8Time and WorkDirect and Inverse Proportions

A4 days
B3 days
C2 2/3 days
D3 1/3 days

Step-by-Step Solution

2 days together:

2 (\frac{1}{6} + \frac{1}{8}) = 2 \times \frac{7}{24} = \frac{7}{12}

. Left

\frac{5}{12}

at

\frac{1}{8}

a day:

\frac{5}{12} \times 8 = \frac{10}{3} = 3 \frac{1}{3}

days.

Answer: D) 3 1/3 days

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