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Applications using Rational Equations

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Chandra can embroider logos on a team's sweatshirts in 6 hr. Traci, a new employee, needs 9 hr to complete the same job. Working together, how long will it take them to do the job?

Oct 19th, 2017

We have performance in terms of hours per job. Rewrite both employee's performances in terms of jobs per hour:

Chandra = C = 1/6 jobs/hr

Traci = T = 1/9 jobs/hr

Between them speed = T + C = 1/6 + 1/9 = 3/18 + 2/18 = 5/18 jobs/hr

So hours per job = 18/5 hr/job

So the job takes 18/5 = 3.6hr

Apr 6th, 2015

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