SOLUTION: Two cars start from towns 570 mi apart and travel toward each other. They meet after 6 hr. Find the speed of each car if one travels 15 mph faster than the other.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Two cars start from towns 570 mi apart and travel toward each other. They meet after 6 hr. Find the speed of each car if one travels 15 mph faster than the other.      Log On


   



Question 1050495: Two cars start from towns 570 mi apart and travel toward each other. They meet after 6 hr. Find the speed of each car if one travels 15 mph faster than the other.
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two cars start from towns 570 mi apart and travel toward each other. They meet after 6 hr. Find the speed of each car if one travels 15 mph faster than the other.
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slower car rate:: x mph
faster car rate:: x+15 mph
combined speed:: 2x+15 mph
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Equation:
rate = distance/time
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2x+15 = 570/6
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2x + 15 = 95
2x = 80
x = 40 mph
x+15 = 55 mph
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of the slower car in mi/hr
+s+%2B+15+ = the speed of the faster car in mi/hr
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Think of this as one car standing still and the other
car moving at the sum of their speeds
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+570+=+%28+s+%2B+s+%2B+15+%29%2A6+
+570++=+%28+2s+%2B+15+%29%2A6+
+570+=+12s+%2B+90+
+12s+=+480+
+s+=+40+
and
+s%2B+15+=+55+
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The faster car's speed is 55 mi/hr
The slower car's speed is 40 mi/hr
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check answers:
+d%5B1%5D+=+40%2A6+
+d%5B1%5D+=+240+ mi
and
+d%5B2%5D+=+55%2A6+
+d%5B2%5D+=+330+ mi
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+d%5B1%5D+%2B+d%5B2%5D+=+240+%2B+330+
+d%5B1%5D+%2B+d%5B2%5D+=+570+ mi
OK