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

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)   (Show Source): You can put this solution on YOUR website!

library to police station 5=-3+2x police station to fire station x

Solve for x.
Answer by ikleyn(52915)   (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 = 4 miles apart.

Answer by ankor@dixie-net.com(22740)   (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
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