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

Answer:

4 miles apart

Step-by-step explanation:

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Answer 2

The distance between the police station and the fire station is x.
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 it is 2x-3. This distance is equal to 5 miles.

$2x-3=5 \\ 2x=5+3 \\ 2x=8 \\ x=\frac{8}{2} \\ x=4$

The police station and the fire station are 4 miles aparat.