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6.10 Using Polynomials with Rational Coefficients. 1. A scantron machine can grade a batch of multiple choice tests in 15 minutes. A newer model will do the same job in 12 minutes. How many minutes would it take both machine to complete the job working together?
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1. A scantron machine can grade a batch of multiple choice tests in 15 minutes. A newer model will do the same job in 12 minutes. How many minutes would it take both machine to complete the job working together? • What is the rate of the first machine? (how much of the job gets done per minute?) • What is the rate of the second machine? • If 1 is the total work done together in x minutes, write an equation to represent both machines working together.
2. One pump can fill a Kool-Aid tank in 30 minutes. Another pump can fill the tank in 45 minutes. How long would it take both pumps working together to fill the tank?
3. A stamping machine can produce the Ferrari emblem for the hood of the car every 18 seconds. A newer machine can produce the same part in 12 seconds. How long would it take the two machines to produce 50 emblems if working simultaneously?