# SOLUTION: I have gotten help from countless people with these word problems, but no one can answer them or help me solve them. One car travels 25mph faster than another. One car can trav

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 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Rational-functions Question 610912: I have gotten help from countless people with these word problems, but no one can answer them or help me solve them. One car travels 25mph faster than another. One car can travel 300 miles in the same time it takes another car to travel 450 miles. Fond the speed of the faster car.Found 2 solutions by Alan3354, josmiceli:Answer by Alan3354(30983)   (Show Source): You can put this solution on YOUR website!I have gotten help from countless people with these word problems, but no one can answer them or help me solve them. ---------- What sort of help did you get? ------------------------ One car travels 25mph faster than another. One car can travel 300 miles in the same time it takes another car to travel 450 miles. Fond the speed of the faster car. --- d = r*t 300 = r*t 450 = (r+25)*t ----- 450 = r*t + 25t 450 = 300 + 25t t = 6 ------- 300 = r*t r = 50 ---- r+25 = 75 mi/hr Answer by josmiceli(9661)   (Show Source): You can put this solution on YOUR website!Write a equation for each car For the slower car: (1) For the faster car: (2) ------------- given: Substitute this into (2) (2) ---------------------- Now I have 2 equations and 2 unknowns, so it's solvable (2) Substitute (1) into (2) (2) (2) (2) Plug this back into (2) (2) (2) (2) (2) The speed of the faster car is 75 mi/hr check: (1) (1) (1) (1) This is 25 mi/hr less than the faster car, so answer is correct ------------- The source of confusion is probably mixing up the data for the 2 cars. make sure you keep it straight.