SOLUTION: In Canada, eastbound and westbound trains travel along the same track, with sidings to pull onto to avoid accidents. two trains are now 150 miles apart, with the westbound train tr

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Question 185450This question is from textbook beginning algebra
: In Canada, eastbound and westbound trains travel along the same track, with sidings to pull onto to avoid accidents. two trains are now 150 miles apart, with the westbound train traveling twice as fast the eastbound train. A warning must be issued to pull one train onto a siding or else the trains will crash in 1-1/4 hours. Find the speed of the eastbound train and the speed of the westbound train. This question is from textbook beginning algebra

Answer by Alan3354(69443) About Me  (Show Source):
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In Canada, eastbound and westbound trains travel along the same track, with sidings to pull onto to avoid accidents. two trains are now 150 miles apart, with the westbound train traveling twice as fast the eastbound train. A warning must be issued to pull one train onto a siding or else the trains will crash in 1-1/4 hours. Find the speed of the eastbound train and the speed of the westbound train.
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Their speed relative to each other is the sum of their speeds and is 150/1.25 mph = 120 mph.
f + s = 120 (fast + slow)
f = 2s
2s + s = 120
3s = 120
s = 40 mph
f = 80 mph