If a road map has a scale of 3 in.: 100 mi., find the following distances.

26. If Stenson and South Fork are 175 mi. apart, what is the distance between them on the map?
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1 answer

To find the distance between Stenson and South Fork on the map, we need to use the scale given in the problem.

The scale is 3 in.: 100 mi., which means that for every 3 inches on the map, there are 100 miles in real life.

We can set up a proportion to find the distance between Stenson and South Fork on the map:

3 in. / 100 mi. = x in. / 175 mi.

To solve for x, we can cross-multiply:

100 mi. * x in. = 3 in. * 175 mi.

Simplifying:

100x = 525

x = 5.25 inches

Therefore, the distance between Stenson and South Fork on the map is 5.25 inches.