Question

In a city the distance between the libary and the police station is 3 miles less than than the distance between the police station and fire station the distance between the libary and police station is 5 miles how far apart are the police station and the fire station

Answer 1

Answer:

8 miles

Step-by-step explanation:

Given

Represent the police station with P, Library with L; Fire station with F

The first statement can be represented as:

$L - P = P - F - 3$

The second can be represented as:

$L - P = 5$

Required

Determine the distance between the police station and the fire station (P - F)

$L - P = P - F - 3$ --- (1)

$L - P = 5$ --- (2)

Substitute 5 for L - P in (1)

$5 = P - F - 3$

Add 3 to both sides

$3 +5 = P - F - 3 + 3$

$3 +5 = P - F$

$8= P - F$

$P - F = 8$