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) 6.51

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 (2 2/9 hrs) 6.52

Formulas for Work Problems 6.53

The Leaky Townhouse 6.54

Blown Engines 36 (w) time it takes Wendy, 45 (w + 9) time it takes Pepe 6.55

Problems Involving Motion  d = rt can also be r = d/t or t = d/r  Finding combined rates or times based on them can be solved using rational equations. 6.56

Mountain Bikes t t 6.57

Tugboat on the Hudson 6.58

What Next?  Section 6.6 Polynomial Division Section 6.6 Polynomial Division 6.59