Math Problem Statement
Suppose you have entered a 131-mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 5 miles per hour, and during your bicycle race, your average velocity is 29 miles per hour. You finish the race in 7 hours. What is try distance of the run? What is the distance of the bicycle race?
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Systems of Equations
Distance-Time Relationship
Formulas
Distance = Velocity × Time
System of equations: d_r + d_b = 131 and d_r/5 + d_b/29 = 7
Theorems
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Suitable Grade Level
Grades 8-10
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