SOLUTION: A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that had a 2 hour head start. How far from the starting point are the planes?

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Question 563773: A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that had a 2 hour head start. How far from the starting point are the planes?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that had a 2 hour head start. How far from the starting point are the planes?
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Jet Plane DATA:
rate = 500 mph ; time = x hrs ; distance = r*t = 500x miles
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Prop Plane DATA:
rate = 200 mph ; time = x+2 hrs ; distance = r*t = 200(x+2) miles
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Equation:
distance = distance
500x = 200(x+2)
500x = 200x + 400
300x = 400
x = 4/3 hrs
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Overtake Distance: 500(4/3) = 2000/3 = 666.66 miles
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Cheers,
Stan H.
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