Question

01:57:09 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?

Answer 1

Distance between the police station and the fire station be 4 miles

Explanation:

Let distance between the police station and the fire station be x miles.

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.

Distance between the library and the police station
`=2x-3`

Also, distance between the library and the police station is 5 miles.

`2x-3=5\\2x=3+5\\2x=8\\x=(8)/(2)\\ x=4\,\,miles`