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

Answer:

4 miles

Step-by-step 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, $2x-3=5$

$2x=8$

$x=\frac{8}{2}$

$x=4$

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