SOLUTION: the fast freight train made the trip in 6 hours. The next day the slow freight train made the same trip in 8 hours. What was the speed of the slow freight train if the fast freight

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Question 156743: the fast freight train made the trip in 6 hours. The next day the slow freight train made the same trip in 8 hours. What was the speed of the slow freight train if the fast freight train traveled 20 mph faster than the slow freight train?
Answer by nerdybill(7384) About Me  (Show Source):
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the fast freight train made the trip in 6 hours. The next day the slow freight train made the same trip in 8 hours. What was the speed of the slow freight train if the fast freight train traveled 20 mph faster than the slow freight train?
.
Let x= speed of slow freight train
then
x+20 = speed of fast freight train
.
Applying the distance formula:
d = rt
where
d is distance
r is rate or speed
t is time
.
"distance traveled by fast train"="distance traveled by slow train"
6(x+20) = 8x
6x+120 = 8x
120 = 2x
60 mph = x (speed of slow freight train)