SOLUTION: A car travels from one town to another town at a speed of 18mph. If it had gone 18mph faster, it could've made the trip in a half hour less time. How far a part are the towns?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A car travels from one town to another town at a speed of 18mph. If it had gone 18mph faster, it could've made the trip in a half hour less time. How far a part are the towns?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 205685: A car travels from one town to another town at a speed of 18mph. If it had gone 18mph faster,
it could've made the trip in a half hour less time. How far a part are the towns?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A car travels from one town to another town at a speed of 18mph.
If it had gone 18mph faster, it could've made the trip in a half hour less time.
How far a part are the towns?
:
let d = dist between towns
:
Write a time equation: time = dist%2Fspeed
Actual speed time = 18 mph faster time + half hr
d%2F18 = d%2F36 + 1%2F2
multiply equation by 36, results
2d = d + 18
2d - d = 18
d = 18 min between towns
;
;
Check solution find the times
18/18 = 1 hr
18/36 = .5 hr
-------------
diff = .5 hr