The scale from a map to the actual distance is 2.5 cm to 620 mi. The distance on the map between Chicago and Boston is about 3.5 cm. What is the approximate distance, in miles, between Chicago and Boston? Show your work.

Answer 868 miles

Step by step

Given: The scale from a map to actual distance is 2.5 cm to 620 miles. If the distance on the map between Chicago and Boston is about 3.5 cm. Hence, the approximate distance between Chicago and Boston = 868 miles.

If the distance on the map between Chicago and Boston is about 3.5 cm.

Then, the actual distance between them =  3.5\times 248 \text{ miles}=868 \text{ miles}

Hence, the approximate distance between Chicago and Boston = 868 miles.

i.e.  1 cm on map = 620/2.5 miles =  248 miles

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