Question

A and b together can do a piece of work in 8 days. If a alone can do the same work in 12 days, then b alone can do the same work in?.

Answer 1

B can finish the job alone in 24 days.

In work-rate problems, a certain person can complete a fraction of the job for a specific timeframe. As stated in the problem, A and B can finish the job by working together for 8 days. It must be noted that the fraction of the job they can finish individually per day is additive.

$\frac{1}{A} + \frac{1}{B} = \frac{1}{8}$

A can complete the work in 12 days and finish 1/12 fraction of a job per day. This can be substituted directly to the equation to solve for the time B needed to finish the work.

$\frac{1}{12} + \frac{1}{B} = \frac{1}{8}$

$\frac{1}{B}= \frac{1}{8}- \frac{1}{12}$

$\frac{1}{B} = \frac{1}{24}$

This means that B can do 1/24 fraction of the job per day and can completely finish the job in 24 days.

For more rate work-rate problems, please refer to the link brainly.com/question/14464103.

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