Math Problem Statement

Jim drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Jim drove home, there was no traffic, and the trip only took 4 hours. If his average rate was 40 miles per hour faster on the trip home, how far away does Jim live from the mountains?

Solution

The problem is about finding the distance Jim lives from the mountains, based on the time it took him to travel to and from the mountains and the difference in average speeds.

Problem Summary:

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Math Problem Analysis

Mathematical Concepts

Algebra
Rates and Speed
Distance-Rate-Time Relationships

Formulas

Distance = Rate × Time
Relative rate difference: Rate_home = Rate_to + 40

Theorems

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Suitable Grade Level

Grades 8-10

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