Question

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police

station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police

station and the fire station?

0

O

O

O

1 mile

3 miles

4 miles

6 miles

Answer 1

The answer is 4 miles

Answer 2

Answer: the distance between the the police station and the fire station is 4 miles.

Explanation:

Let x represent the distance between the library and the police station.

Let y represent the distance between the the police station and the fires station.

In the city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. This is expressed as

x = 2y - 3

The distance between the library and the police station is 5 miles. This means that

5 = 2y - 3

2y = 5 + 3 = 8

y = 8/2 = 4