SOLUTION: Two trains starting at the same time from stations 396 miles apart, meet in 4.5 hours. How far has the faster train traveled when it meets the slower one, if the difference in thei

Question 811728: Two trains starting at the same time from stations 396 miles apart, meet in 4.5 hours. How far has the faster train traveled when it meets the slower one, if the difference in their rates is 8 mph?
Answer ASAP
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
faster train x mph
slower train x-8 mph
travelling towards
so add up speeds
x+x-8=2x-8 mph
distance = 396 miles
time = 4.5 hours
d=rt
396=(2x-8)4.5
396=9x-36
9x=396+36
9x=432
x=48 speed of faster train is 48 mph
it takes 4.5 hours
so distance traveled when it meets = 4.5*48=216 miles
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