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Q&A #6121 |
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Most of the applications for polynomial fractions have to do with more complicated ideas like uniform motion and work/rate problems. Here are a couple of examples that might help. 1) Suppose you had a piece of wire 8 meters long which needed to be cut into two pieces. Each piece would then be bent into a square. Where should the wire be cut if the sum of the areas of the two squares needs to be 2 square meters? Let x = one piece, then 8-x = other piece x/4 = side of first sq. (8-x)/4 = side of second sq. (x/4)^2 + ((8-x)/4)^2 = 2 Guess the squares might make this too complicated??? Suppose one son is asked to mow the yard at 10am on a Saturday. Working alone it takes him 4 hours to do the job. His older brother takes 6 hours to do the job when he works alone. Since the boys have a soccer game at 1pm, they decide to work together. How long will it take them together? Will they make it to the game on time? (t/4) + (t/6) = 1 good luck -Claudia, for the T2T service
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