SOLUTION: how long will it take a bus traveling at 60 miles per hour to overtake a car traveling at 40 mph if the car had a 1.5-hour head start?

Question 572595: how long will it take a bus traveling at 60 miles per hour to overtake a car traveling at 40 mph if the car had a 1.5-hour head start?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how long will it take a bus traveling at 60 miles per hour to overtake a car traveling at 40 mph if the car had a 1.5-hour head start?
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slower car distance: r*t = 40x miles
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faster car distance: r*t = 60(x-1.5) = 60x - 90 miles
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Equation:
distance = distance
40x = 60x - 90
20x = 90
x = 9/2 = 4.5 hours
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Cheers,
Stan H.

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