SOLUTION: Two trains depart a train station traveling in opposite directions. the one traveling north was going twice as fast as the one going south. after 4 hours they were 600 miles apart.
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Question 830129: Two trains depart a train station traveling in opposite directions. the one traveling north was going twice as fast as the one going south. after 4 hours they were 600 miles apart. how fast was the faster train going Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! ---
x = fast train
y = slow train
x = 2y
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relative speed of trains:
s = x + y
s = d/t
s = 600/4
s = 150 mph
x + y = 150
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linear system:
x = 2y
x + y = 150
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put the system of linear equations into standard form:
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x - 2y = 0
x + y = 150
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copy and paste the above linear system in standard form into this matrix-method solver:
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solution:
x = fast train = 100 mph
y = slow train = 50 mph
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