Mathematics

Combined Work

Find the time required when two workers work together.

Combined Rate = 1/A + 1/B; Time = 1 / Combined Rate

Formula Explanation

The combined rate is the sum of individual rates when both contribute to the same job.

Variables Explained

A and B = individual completion times in the same time unit.

Solved Example

A completes a job in 6 days and B in 3 days. Find their combined time.
Rate = 1/6 + 1/3 = 1/2 job/day. Time = 2 days.

Exam Tip

Use rates, not the sum of completion times.