Problem preview

A-REI.11 Warmup M1-007-A10-V03

Solve equations of the form f(x)=g(x) approximately by finding graph/table intersections.

Solve a break-even problem by setting models equal

Problem

Solve the catch-up problem: Runner A has a \(10\text{-}\text{mile}\) head start and runs \(6~\text{miles}~\text{per}~\text{hour}\), while Runner B runs \(8~\text{miles}~\text{per}~\text{hour}\). When do they meet, and how far from Runner B's starting point are they then?

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t = 5 hours; both are at 40 miles

t = 5 hours

t = 10 hours; both are at 80 miles

t = 2 hours; both are at 16 miles

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Curriculum context

Course: Math I
Standard: A-REI.11
Category: Algebra
Domain: Reasoning with Equations and Inequalities
Objective: Solve equations of the form f(x)=g(x) approximately by finding graph/table intersections.
Problem type: Solve a break-even problem by setting models equal