Math Problem Statement
Two bicyclists begin a race at 8:00 A.M. They both finish the race 2 hours and 15 minutes later. Prove that at some time during the race, the bicyclists are traveling at the same velocity.
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Continuous Functions
Velocity
Formulas
f(t) = v1(t) - v2(t)
Intermediate Value Theorem (IVT)
Theorems
Intermediate Value Theorem (IVT)
Suitable Grade Level
Undergraduate Level
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