SOLUTION: If city A is 450 miles east of city B, and car C leaves A for B at 50 miles an hour, and car D leaves City B for city A at 60 miles an hour, at what point does car C meet D?

Algebra ->  Length-and-distance -> SOLUTION: If city A is 450 miles east of city B, and car C leaves A for B at 50 miles an hour, and car D leaves City B for city A at 60 miles an hour, at what point does car C meet D?      Log On


   

Question 192843: If city A is 450 miles east of city B, and car C leaves A for B at 50 miles an hour, and car D leaves City B for city A at 60 miles an hour, at what point does car C meet D?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If city A is 450 miles east of city B, and car C leaves A for B at 50 miles an hour, and car D leaves City B for city A at 60 miles an hour, at what point does car C meet D?
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A to B DATA:
rate = 50 mph ; time = x hours ; distance = 50x miles
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B to A DATA:
rate = 60 mph ; time = x hours ; distance = 60x miles
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Equation:
miles + miles = 450 miles
50x + 60x = 450
110x = 450
x = 4.09 hours
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50x = 50*4.09 = 204.55 miles from A toward B
60x = 60*4.09 = 245.45 miles from B toward A
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Cheers,
Stan H.