An express train travels 80 kilometers per hour from Ironton to Wildwood. A local train,traveling at 48 kilometers per hour, takes 2 hours longer for the same trip. How far apart are Ironton and Wildwood? Solution Express Train DATA: rate = 80 km/hr ; time = x hrs. ; distance = 80x km --------------- Local train DATA: rate = 48 km/hr ; time = x+2 hrs ; distance = 48(x+2) km -------------- EQUATION: distance = distance 80x=48x+96 32x=96 x=3 hrs. ------------- Distance = 80(3)=240 km.

1. An express train travels 80 kilometers per hour from Ironton to Wildwood. A local train,traveling
at 48 kilometers per hour, takes 2 hours longer for the same trip. How far apart are Ironton and
Wildwood?
Solution
Express Train DATA:
rate = 80 km/hr ; time = x hrs. ; distance = 80x km
---------------
Local train DATA:
rate = 48 km/hr ; time = x+2 hrs ; distance = 48(x+2) km
--------------
EQUATION:
distance = distance
80x=48x+96
32x=96
x=3 hrs.
-------------
Distance = 80(3)=240 km