The law firm of Dewey, Cheetham, and Howe files claims against unscrupulous car

Question

The law firm of Dewey, Cheetham, and Howe files claims against unscrupulous car repair shops that take advantage of consumers who know nothing about cars. A lawyer who takes a 20-minute break after every 3 hours of work can process one claim with 15 hours of work. If the lawyer takes a 20-minute break after every 5 hours of work she can process one claim with 20 hours of work. If she takes a 20-minute break after every 1 hour of work she can process one claim with just 5 hours of work. Which of these is the efficient method of production for Dewey, Cheetham, and Howe?  

Explanation / Answer

The 20-minute break after every 1 hour of work is by far the best method.

Here is an overview of each method.

20-minute break after 3 hours, 15 hours of work = 15 + (15/3 * 20) = 16 hours 40 minutes total time

20-minute break after 5 hours, 20 hours of work = 20 + (20/5 * 20) = 21 hours 20 minutes total time

20-minute break after 1 hours, 5 hours of work = 5 + (5/3 * 20) = 5 hours 33 minutes total time

Hope this helps good luck.

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