SOLUTION: 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 a

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Question 63570This question is from textbook Glencoe Mathematics
: 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? This question is from textbook Glencoe Mathematics

Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
d = distance between towns
d+=+r%5B1%5D+%2A+t%5B1%5D
d+=+r%5B2%5D+%2A+t%5B2%5D
where
r%5B1%5D = speed of the 1st train in km/hr
r%5B2%5D = speed of 2nd train in km/hr
t%5B1%5D = time of travel of 1st train in hrs
t%5B2%5D = time of travel of 2nd train in hrs
d+=+80t%5B1%5D
d+=+48t%5B2%5D
problem says t%5B2%5D+=+t%5B1%5D+%2B+2
d+=+48+%2A+%28t%5B1%5D+%2B+2%29
80t%5B1%5D+=+48+%2A+%28t%5B1%5D+%2B+2%29
80t%5B1%5D+=+48t%5B1%5D+%2B+96
32t%5B1%5D+=+96
t%5B1%5D+=+3
d+=+80t%5B1%5D
d+=+80%2A3
d+=+240
the towns are 240 km apart

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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?
----------------------------
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
Cheers,
Stan H.