On a road map,\(\frac{1}{4}\) inch represents 8 miles of actual road distance. The towns of Alton and Waverly are represented by points \(2\frac{1}{8}\)inches apart on the map.What is the actual distance, in miles, between Alton and Waverly?

Explanation

Since \(\frac{1}{4}\) in. represents 8 mi, 1 in. represents \(4 \times 8=32\) mi., and 2 in. represents \(2 \times 32=64\) mi., \(\frac{1}{8}\) in. represents 4 mi. Then \(2\frac{1}{8}\)in. represent \(64+4=68\) mi.

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