Back to 5.2 Solving Systems of Equations by Substitution

5.2 Exercise 93

Avg difficulty 2.5

Stephanie left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 56 miles per hour. Half an hour later, Tina left Riverside in her car on the same route as Stephanie, driving 70 miles per hour. Solve the system {56s=70ts=t+12\begin{cases} 56 s = 70 t \\ s = t + \frac{1}{2} \end{cases}.

  1. ⓐ for tt to find out how long it will take Tina to catch up to Stephanie.
  2. ⓑ what is the value of ss, the number of hours Stephanie will have driven before Tina catches up to her?

OpenStax Elementary Algebra 2e, 5.2 Solving Systems of Equations by Substitution, exercise 93

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Adapted from Elementary Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Elementary Algebra 2e. Imported at revision 77a933c.