Answer:
Tthe distance between the police station and the fire station is 4 miles
Step-by-step explanation:
Let's call x the distance between the library and the police station
Let's call z the distance between the police station and the fire station
We know that:
[tex]x = 5[/tex] miles
The distance (x) between the library and the police station is 3 miles less than twice the distance (z) between the police station and the fire station
This is:
[tex]x = 2z-3[/tex]
We wish to find the distance z.
Then we equate both equations and solve for the variable z
[tex]5 = 2z -3\\\\2z = 5+3\\\\2z = 8\\\\z =\frac{8}{2}\\\\z = 4\ miles[/tex]
