Question

On a road map the distance from Cily A to City BIS 4 inches. The map

scale is 1 inch 20 miles what is the actual distance in miles, between
City A and City B2
5 miles
24 miles
8 miles
80

Answer 1

80 miles

Explanation:

The map scale compares the distance between two points on the map with the corresponding distance on the ground.

That is,

`\boxed{\mathfrak{map\:scale=(distance\:on\:map)/(distance\:on\:ground) }}`

The formula makes it pretty easy to solve!

• map scale is 1 inch : 20 miles
• distance on map is 4 inches

• Let's say, the corresponding distance on the ground is x miles.

Substituting these values in the above mentioned formula:

`\implies \mathsf{(1 \:inch)/(20\:miles) =(4\:inches)/(x\:miles) }`

cross multiplying:

`\implies\mathsf{x=4 * 20}`

`\implies \mathsf{x=80}`

That makes the actual distance 80 miles!

ALTER

You can also use simple unitary method here:

1 inch on the map = 20 miles on the ground

∴ 4 inches on the map = 4 × 20 miles on the ground

= 80 miles on the ground