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?

Answer 1

The police station and the fire station is 4 miles apart.

Answer 2

4 miles

Explanation:

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

Now we are given that 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.

So, distance between the library and the police station =
`2x-3`

Now we are given that The distance between the library and the police station is 5 miles

So,
`2x-3=5`

`2x=8`

`x=(8)/(2)`

`x=4`

Hence the police station and the fire station are 4 miles apart.