SOLUTION: A vehicle is speeding at 70 mph. A cop which is 14 miles behind the speeding car drives after it at 98 mph. How long will it take for the cop to overtake the speeding car?

Question 825116: A vehicle is speeding at 70 mph. A cop which is 14 miles behind the speeding car drives after it at 98 mph. How long will it take for the cop to overtake the speeding car?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A vehicle is speeding at 70 mph. A cop which is 14 miles behind the speeding car drives after it at 98 mph. How long will it take for the cop to overtake the speeding car?
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Car DATA: distance = x miles ; rate = 70 mph ; time = x/70 hrs
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Cop DATA: distance = x+14 miles ; rate = 98 mph ; time = (x+14)/98
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time = time
x/70 + (x+14)/98
98x = 70x + 70*14
28x = 70*14
x = 35 miles
x+14 = 49 miles
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Cop time = 49/98 hrs = 1/2 hr
Cheers,
Stan H.
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