Back to 5.4 Solve Applications with Systems of Equations

5.4 Exercise 76

Avg difficulty 2.5

Solve Uniform Motion Applications In the following exercises, translate to a system of equations and solve.

At the end of spring break, Lucy left the beach and drove back towards home, driving at a rate of 40 mph. Lucy’s friend left the beach for home 30 minutes (half an hour) later, and drove 50 mph. How long did it take Lucy’s friend to catch up to Lucy?

OpenStax Elementary Algebra 2e, 5.4 Solve Applications with Systems of Equations, exercise 76

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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.