SOLUTION: two trains going in opposite directions leave at the same time. train b travels 25 mph faster than train a. in 8 hours the trains are 920 miles apart. find the speed of each
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Question 823097: two trains going in opposite directions leave at the same time. train b travels 25 mph faster than train a. in 8 hours the trains are 920 miles apart. find the speed of each Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! ---
x = speed of trainA
y = speed of trainB
y = x + 25
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relative speed of the two trains:
s = d / t
s = x + y
x + y = d / t
x + y = 920 / 8
x + y = 115
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system of linear equations:
y = x + 25
x + y = 115
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put the system of linear equations into standard form
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x - y = -25
x + y = 115
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answer:
x= trainA = 45 mph
y= trainB = 70 mph
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