SOLUTION: A regular train travels at 60mph while a highspeed train travels at 90mph. It takes the regular train 2.5 hours longer to get to the next stop than the highspeed train. How long do

Question 383238: A regular train travels at 60mph while a highspeed train travels at 90mph. It takes the regular train 2.5 hours longer to get to the next stop than the highspeed train. How long does it take for both trains to arrive at the next stop.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A regular train travels at 60mph while a highspeed train travels at 90mph.
It takes the regular train 2.5 hours longer to get to the next stop than the highspeed train.
How long does it take for both trains to arrive at the next stop.
:
Let t = time for the fast train to get to the next stop
then
(t+2.5) = time of the slow train to get there
:
Both trains travel the same distance; write a distance equation: dist = speed * time
:
90t = 60(t+2.5)
90t = 60t + 150
90t - 60t = 150
30t = 150
t =
t = 5 hrs for the fast train; and 7.5 hrs for the slow train
:
:
Check solution by finding the distances, should be equal:
90*5 = 450 mi
60*7.5 = 450 mi
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