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Question 728773: A glassblower can produce a set of simple glasses in about 2 hours. When the glassblower works with an apprentice, the job takes about 1.5 hours. How long would it take the apprentice to make a set of glasses when working alone ?
I have seen other rate of work questions/answers but in this case the rate is not by hour so that confuses me.
Answer by josgarithmetic(39613)   (Show Source):
You can put this solution on YOUR website! Different than how you see it, I feel uncomfortable with the described situation for a different reason. The simple additivity of their rates may not be reasonable.
But, typically, the handle these rate of work problems in general, you want to assume that the rates of agents working together are simply added through addition. You want to think of the rates as "jobs per time unit", instead of "time per job unit".
In the problem description you have, the one identifiable job is, "produce a set of simple glasses". THAT is the 1 job.
According to the 1 identifiable job, and assuming the work rates are added when the master and apprentice work together, then their rates are like this:
Glassblower's rate is about  jobs per hour;
Apprentice+Glassblower rate combined is  jobs per hour.
I'll stop there and let you work through the problem, since it should now resemble many other often similar kinds of uniform rates problems.
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