SOLUTION: A motorcycle traveling 50 mph overtakes a car traveling at 40 mph that had a 3 hr. Head start. How far from the starting point are the two vehicles

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Question 996977: A motorcycle traveling 50 mph overtakes a car traveling at 40 mph that had a 3 hr. Head start. How far from the starting point are the two vehicles
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A motorcycle traveling 50 mph overtakes a car traveling at 40 mph that had a 3 hr. Head start. How far from the starting point are the two vehicles
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Bike DATA:
rate = 50 mph ; time = x hrs ; distance = r*t = 50x miles
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Car DATA:
rate = 40 mph ; time = x+3 hrs ; distance = 40x+120 miles
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Equation:
distance = distance
50x = 40x+120
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10x = 120
x = 12 hrs
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Ans: distance = 50*12 = 600 miles
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Cheers,
Stan H.
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