SOLUTION: Two cars are headed in the same direction; the one traveling at 55 km/h is 35 meters ahead of the one traveling at 70 km/h. a) Draw a position time graph showing the motion of th

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Question 788137: Two cars are headed in the same direction; the one traveling at 55 km/h is 35 meters ahead of the one traveling at 70 km/h.
a) Draw a position time graph showing the motion of the two cars.
b) Use your graph to find the time when the faster car overtakes the slower car.
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Their rates will tell you how fast the distance between them decreases. This value is 70-55=15 km/h.

Drawing a position graph for this is not so easy on this system algebra site, but going straight to part #b:
15%2Ax=35%281%2F1000%29
x=%281%2F1000%2935%2F15
x=%281%2F1000%297%2F3
x=2.33333%2F1000 hours
x=0.002333%7D%7D...+hours%0D%0A%0D%0A%0D%0AThis+is+%7B%7B%7B0.0023333%2A60%2A60=8.4 seconds
Eight and four-tenths seconds