Question 553295: Hello, I need help on a word problem. I worked on it, but I am not sure it is correct, please help me. The answer I got was 780 miles.
A bus leaves San Fransisco traveling North at 60mph. One hour later, a car leaves from the same location on the same route at 65mph. How far from San Fransisco will the car overtake the bus?
Thank You!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A bus leaves San Fransisco traveling North at 60mph.
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rate = 60 mph ; time = t hrs ; distance = r*t = 60t miles
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One hour later, a car leaves from the same location on the same route at 65mph.
rate = 65 mph ; time = t-1 hrs ; distance = r*t = 65(t-1) miles
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How far from San Fransisco will the car overtake the bus?
Equation:
distance = distance
60t = 65(t-1)
60t = 65t - 65
5t = 65
t = 13 hrs
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distance from SF = r*t = 60*13 = 780 miles
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Cheers,
Stan H.
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