SOLUTION: Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for both variables.
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Question 230535: Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for both variables.
An express train and a local train leave a station at the same time (on separate tracks) and head for a town 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! An express train and a local train leave a station at the same time (on separate tracks) and head for a town 50 miles away.
The express travels twice as fast as the local and arrives 1 hour ahead of the local.
Find the speed of each train.
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I can't imagine why you would use two variables and two equations on this problem
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simple time equation would work fine
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Let s = speed of the slow train
then
2s = speed of the fast train
:
slow train time = fast train time + 1 hr = + 1
Multiply by 2s
2(50) = 50 + 2s
100 - 50 = 2s
2s = 50
s = 25 mph, slow train and 50 mph fast train
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Check solution in time equation = + 1
