A logistics coordinator is planning a delivery route using a regional highway map. The map… — Armed Services Vocational Aptitude Battery (ASVAB)

A logistics coordinator is planning a delivery route using a regional highway map. The map's legend indicates a scale of $0.4\text{ inches} = 15\text{ miles}$ . If the distance between the distribution center and the final delivery point measures $6.2\text{ inches}$ on the map, what is the actual driving distance between the two locations?

A
$23.25\text{ miles}$
B
$37.2\text{ miles}$
C
$93\text{ miles}$
$232.5\text{ miles}$ Answer

Answer

The actual driving distance is

232.5\text{ miles}

The correct actual distance is

232.5\text{ miles}

. To solve this, find the number of

0.4

-inch units in

6.2\text{ inches}

by dividing:

6.2 \div 0.4 = 15.5

. Then, multiply this factor by the

15\text{ miles}

that each unit represents:

15.5 \times 15 = 232.5\text{ miles}

. Alternatively, finding the unit rate of

37.5\text{ miles per inch}

(

15 \div 0.4

) and multiplying by

6.2\text{ inches}

yields the same correct result.

Step-by-Step Solution

Determine the unit scale (actual miles per inch on the map).

15 \div 0.4 = 37.5\text{ miles per inch}

This establishes a baseline multiplier to convert any map measurement into real-world miles.

Calculate the actual driving distance.

6.2 \times 37.5 = 232.5\text{ miles}

Scaling up the measured map distance by the unit rate yields the total actual distance.

Key Concept

Scale Drawings and Map Measurements

Estimated Time:1m 30s

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