SOLUTION: Could someone help me with this one? I have trouble with word problems? You are greatly appreciated. An express train and a local train both leave Gray’s Lake at 12:00 noon and

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Could someone help me with this one? I have trouble with word problems? You are greatly appreciated. An express train and a local train both leave Gray’s Lake at 12:00 noon and       Log On


   

Question 203510: Could someone help me with this one? I have trouble with word problems? You are greatly appreciated.
An express train and a local train both leave Gray’s Lake at 12:00 noon and head for Chicago 60 miles away. The express travels twice as fast as the local and arrives 2 hours ahead of it. Find the speed of each train.


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
An express train and a local train both leave Gray’s Lake at 12:00 noon and head
for Chicago 60 miles away. The express travels twice as fast as the local and
arrives 2 hours ahead of it. Find the speed of each train.
:
Let s = speed of the freight
then
2s = speed of the express
:
Write a time equation: Time = dist%2Fspeed
Freight time = Express time + 2 hrs
60%2Fs = 60%2F%282s%29 + 2
Multiply equation by 2s, results:
2(60) = 60 + 2(2s)
120 = 60 + 4s
120 - 60 = 4s
60 = 4s
s = 60%2F4
s = 15 mph is the freight,
then
2(15) = 30 mph is express
;
:
Check solution by finding the time of each train
60/15 = 4 hr
60/30 = 2 hr
------------
differ = 2 hrs