SOLUTION: Two cars travel at 55 mph and 95 mph. Let t,T be the time spent traveling by the slower and faster car, respectively, and let d,D be their distance traveled. Suppose that

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Question 1083549: Two cars travel at 55 mph and 95 mph.
Let t,T be the time spent traveling by the slower and faster car, respectively, and let d,D be their distance traveled.
Suppose that both cars travel the same distance. Write an equation to determine how long the slower car traveled as a function of how long the faster car traveled.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
WHICH CAR     SPEED       TIME         DISTANCE

SLOW CAR         55           t           d

FAST CAR         95           T           D

The two distances are described as being equal, so d=D, but t%3C%3ET.

55t=d=D=95T
55t=95T

t=95T%2F55
simplify
highlight%28t=19T%2F11%29