### Home > CC4 > Chapter 11 > Lesson 11.2.2 > Problem 11-68

11-68.

Ten minutes after he left his home, Gerald was 40 miles from his grandmother’s house. Then, 22 minutes after he left, he was 34 miles from her house. If he was traveling toward his grandmother’s home at a constant rate and reached her house after 90 minutes, how far away from her house does he live? Homework Help ✎

Write two equations for the distance and solve like a system of equations.

*d* = distance*r* = rate

*d* = 10*r* + 40

*d* = 22*r* + 34

Use the equal values method.

*d* = 45 miles