Algebra Word Problem, is the book wrong?
In my algebra textbook the following problem is given: Ken and Bettina Wikendt live in Minneapolis, Minn. Following a severe snowstorm, Ken and Bettina must Clear the driveway and sidewalk. Kan can clear the snow by himself in 4 hours. Bettina can clear the snow by herself in 6 hours. After Bettina has been working for 3 hours, Ken is able to join her. How much longer will it take them working together to move the rest of the snow. The book gives the answer as: t/6 + (t+3)/4 = 1, thus t = 3/5 of an hour to complete the rest of the job. When I worked the problem I set it up as follows: (t+3)/6 + t/4 = 1. Which works out as t = 1 and 1/5 hours to complete the rest of the job. At first I figured I just worked the problem wrong, but after reviewing it, I’m not sure if I’m wrong or the book is wrong. I used “t” as the time they have been working together. So “t+3” equals the total amount of time Bettina has been working. So using the formula “amount of work = rate * time” with Bettina’s rat
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