Math Problem Statement

It took Terry 7 h to drive 390 km from Cold Bay to Morgan's Cove. He averaged 60 km/h for the first part of the trip, but was forced to complete the trip at 50 km/h due to a thunderstorm. How many hours did he spend driving at 50 km/h? How is the answer 3 hours?

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Distance-Speed-Time Relationship

Formulas

t_1 + t_2 = Total Time
Distance = Speed × Time
60t_1 + 50t_2 = Total Distance

Theorems

Linear System of Equations

Suitable Grade Level

Grades 8-10