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Section 6.5 Solving Applications using Rational Equations

Section 6.5 Solving Applications using Rational Equations. Work Problems (Total time for a job) • (Rate of doing it) = 1 Motion Problems R • T = D Time = (Distance) ÷ (Rate) Rate = (Distance) ÷ (Time). Multiple workers on the same job.

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Section 6.5 Solving Applications using Rational Equations

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  1. Section 6.5 Solving Applications using Rational Equations • Work Problems • (Total time for a job) • (Rate of doing it) = 1 • Motion Problems R • T = D • Time = (Distance) ÷ (Rate) • Rate = (Distance) ÷ (Time) 6.5

  2. Multiple workers on the same job • Sam can mow my lawn in 5 hours. What’s his Rate? • 1/5 of my lawn per hour • (Hours spent)(Rate of work) = 1 whole job • 5(1/5) = 1 not so hard to understand • Mary can mow my lawn in 4 hours. Her Rate? • 1/4 of my lawn per hour • Working together: Add their rates to find the time • t (1/5 + 1/4) = 1 • t (9/20) = 1 • t = 20/9 hours (22/9hrs) 6.5

  3. Formulas for Work Problems 6.5

  4. The Leaky Townhouse 6.5

  5. Blown Engines 36 (w) time it takes Wendy, 45 (w + 9) time it takes Pepe 6.5

  6. Problems Involving Motion • d = rtcan also ber = d/t or t = d/r • Finding combined rates or times based on them can be solved using rational equations. 6.5

  7. Mountain Bikes t t 6.5

  8. Tugboat on the Hudson 6.5

  9. What Next? • Section 6.6 Polynomial Division 6.5

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