SOLUTION: One car travels 25 km/h faster than another. While one travels 300 km the other travels 450 km. find their speeds.

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Question 626507: One car travels 25 km/h faster than another. While one travels 300 km the other travels 450 km. find their speeds.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
300 = r*t

300/r = t

t = 300/r

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450 = (r+25)*t

450 = (r+25)*(300/r)

450r = 300(r+25)

450r = 300r+7500

450r-300r = 7500

150r = 7500

r = 7500/150

r = 50

So the slower car is traveling 50 km/h while the faster car is traveling 50+25 = 75 km/h

Note: this is all done within 300/50 = 6 hours, but this fact is irrelevant.

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