SOLUTION: A sportsman had increased his average speed from 250 to 300 m/min and he was finishing the distance one min faster. What is the distance he was running?

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Question 1056625: A sportsman had increased his average speed from 250 to 300 m/min and he was finishing the distance one min faster. What is the distance he was running?
Answer by stanbon(75887) About Me  (Show Source):
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A sportsman had increased his average speed from 250 to 300 m/min and he was finishing the distance one min faster. What is the distance he was running?
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Slower speed DATA:
rate = 250 m/min ; time = x minutes ; distance = r*t = 250x meters
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Faster speed DATA:
rate = 300 m/min ; time = x - 1 minutes ; distance = 300x - 300 meters
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Equation:
dist = dist
250x = 300x - 300
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50x = 300
x = 6 minutes
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Ans: distance = 250x = 250*6 = 1500 meters
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Cheers,
Stan H.
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