Question

The scale on a map reads

1/2 inch = 30 miles. If two cities on the map are 5 3/4 inches apart, find the actual distance between the cities

Answer 1

The actual distance between cities = 345 miles

Explanation:

Given that:

Scale on map is

1/2 inch = 30 miles

0.5 inch = 30 miles

Distance between two cities on map =
`5(3)/(4)` =
`(23)/(4)` = 5.75 inches

Actual distance = x

As the relationship is proportional

0.5 : 30 :: 5.75 : x

Product of mean = Product of extreme

30*5.75 = 0.5x

172.5 = 0.5x

0.5x = 172.5

Dividing both sides by 0.5

`(0.5x)/(0.5)=(172.5)/(0.5)\\x=345`

Hence,

The actual distance between cities = 345 miles