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

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) (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 .

Answer by MathTherapy(10552) (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
, or , or
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