SOLUTION: Two trains travel at 200 mph and 350 mph. Let t,T be the time spent traveling by the slower and faster train, respectively, and let d,D be their distance traveled. Suppose th

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Question 959892: Two trains travel at 200 mph and 350 mph.
Let t,T be the time spent traveling by the slower and faster train, respectively, and let d,D be their distance traveled.
Suppose that both trains travel the same distance. Write an equation to determine how long the slower traveled traveled as a function of how long the faster train traveled

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
_________________________speed____________time___________distance
SLOWER___________________200______________t______________d
FASTER___________________350______________T______________D

Your description indicated that d=D. Choose these to be equal or assign a new variable to BOTH:
L=d=D;

_________________________speed____________time___________distance
SLOWER___________________200______________t______________L
FASTER___________________350______________T______________L

Form a system system%28200t=L%2C350T=L%29.

200t=350T

t=%28350%2F200%29T

highlight%28t=%287%2F4%29T%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Two trains travel at 200 mph and 350 mph.
Let t,T be the time spent traveling by the slower and faster train, respectively, and let d,D be their distance traveled.
Suppose that both trains travel the same distance. Write an equation to determine how long the slower traveled traveled as a function of how long the faster train traveled
Distance for slower train: d = 200t
Distance for faster train: D = 350T
Since they traveled the same distance, then we can say that: 200t = 350T
t+=+350T%2F200, or t+=+7T%2F4, or highlight_green%28t+=+%287%2F4%29T%29