Question 694665: Two cars leave town at the same time going opposite directions. One travels 55 mi/h and the other travels 48 mi/h. In how many hours witll they be 206 miles apart?
a. Draw a diagram that represents the situation. Label your diagram using data from the problem.
b. Copy and complete the missing information in the table below
Distance Rate Time
Slow Car distance of slow car
Fast Car distance of fast car
c.Use the data in your table to write an equation
d. Solve the equation and answer the question.
Answer by studystack(3)   (Show Source):
You can put this solution on YOUR website! fast car going 55 mph <------------- Town -----------> slow car going 48 mph
after 1 hour fast car has gone 55 miles, slow car has gone 48 miles, since they went in opposite directions they would be 48+55 (which equals 103) miles away from each other
after 2nd hours fast car has gone 110 miles, slow car has gone 96 miles. They would be 206 miles away from each other.
DistanceBetweenCars = (48+55) * HoursElapsed
DistanceBetweenCars = 103 * HoursElapsed
So HoursElapsed = DistanceBetweenCars / 103
Since the question asks when will the distance between the cars be 206, the equestion to solve would be:
HoursElapsed = 206 / 103 = 2
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