in a city, the distance between the library and the police station is 3 miles less than twice the distance…

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?\n1 mile\n3 miles\n4 miles\n6 miles

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?\n1 mile\n3 miles\n4 miles\n6 miles

Answer

Explanation:

Step1: Set up an equation

Let the distance between the police - station and the fire - station be $x$ miles. The distance between the library and the police station is $2x - 3$ miles, and it is given as 5 miles. So, $2x-3 = 5$.

Step2: Solve for $x$

Add 3 to both sides of the equation: $2x-3 + 3=5 + 3$, which simplifies to $2x=8$.

Step3: Isolate $x$

Divide both sides of the equation $2x = 8$ by 2: $\frac{2x}{2}=\frac{8}{2}$, so $x = 4$.

Answer:

C. 4 miles