SOLUTION: 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

Algebra ->  Average -> SOLUTION: 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      Log On


   

Question 1118821: 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?

Found 3 solutions by josgarithmetic, ikleyn, ankor@dixie-net.com:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
library to police station            5=-3+2x
police station to fire station          x


2x-3=5
Solve for x.

Answer by ikleyn(52915) About Me  (Show Source):
You can put this solution on YOUR website!
.
The distance between the library and the police station, which is 5 miles, is 3 miles less than twice the distance 

between the police station and the fire station. 



Hence, twice the distance between the police station and the fire station is 5+3 = 8 miles,

i.e. the police station and the fire station are  8%2F2 = 4 miles apart.


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let x = dist between the police stn and the fire stn
:
"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."
therefore
2x - 3 = the dist between the lib and police stn
:
The distance between the library and the police station is 5 miles.
:
F ----- x -------- P ----- 2x-3 -------L
therefore
2x - 3 = 5
2x = 8
x = 4mi
;
How far apart are the police station and the fire station? 4 mi