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?
miles

Answer 1

c) 4 miles

Explanation:

Answer 2

Tthe distance between the police station and the fire station is 4 miles

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:

`x = 5` 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:

`x = 2z-3`

We wish to find the distance z.

Then we equate both equations and solve for the variable z

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