SOLUTION: An express train travels 80 kilometers per our from Ironton to Wildwood. A local train traveling at 48 Kilometers per hour, takes 2 hours longer for the same trip. How far apart

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Question 161273This question is from textbook Algebra 1
: An express train travels 80 kilometers per our 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? This question is from textbook Algebra 1

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Remember: Speed=distance%2Ftime -------------> EQN 1
express Train=T%5BE%5D: local Train=T%5BL%5D
In EQN 1 we get:
d%5BE%5D=S%5BE%5D%2At%5BE%5D; d%5BL%5D=S%5BL%5D%2At%5BL%5D
We equate the 2 eqns since distance is the same, and remember too T%5BL%5D takes 2 hours longer. It follows t%5BL%5D=t%5BE%5D%2B2hrs ----> EQN 2
Continuing,
S%5BE%5D%2At%5BE%5D=S%5BL%5D%2At%5BL%5D, subst. EQN 2
S%5BE%5D%2At%5BE%5D=S%5BL%5D%2A%28t%5BE%5D%2B2%29
80%2At%5BE%5D=48%2A%28t%5BE%5D%2B2%29
80%2At%5BE%5D=48t%5BE%5D%2B96
80t%5BE%5D-48t%5BE%5D=96
32t%5BE%5D=96 -----> cross%2832%29t%5BE%5D%2Fcross%2832%29=cross%2896%293%2Fcross%2832%29
t%5BE%5D=3hrs: t%5BL%5D=3%2B2=5hrs
So via EQn 1:
d%5BE%5D=80%2A3=240km; d%5BL%5D=48%2A5=240km ---> Ironton to Wildwood
thank you,
Jojo