SOLUTION: A and b are athletes. A covers a distance of 1 km in 5 minutes and 50 seconds while b covers The same distance in 6 minutes and 4 seconds. If both them starts together and run at

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Question 752825: A and b are athletes. A covers a distance of 1 km in 5 minutes and 50 seconds while b covers
The same distance in 6 minutes and 4 seconds. If both them starts together and run at uniform speed by what approximate distance will A win a 5 km mini Marathon?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A and b are athletes. A covers a distance of 1 km in 5 minutes and 50 seconds while b covers the same distance in 6 minutes and 4 seconds.
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A DATA:
dist = 1 km ; time = 5 5/6 min = (35/6)/60 = 7/72 hr ; rate = d/t = 72/7 km/hr
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B DATA:
dist = 1 km ; time = 6 2/3 min = (20/3)/60=(1/9) hr ;rate = 9 km/hr
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If both of them starts together and run at uniform speed by what approximate distance will A win a 5 km mini Marathon?
A-time = d/r = 5/(72/7) = 35/72 hr to run 5 km
B-distance for 35/72 hr = (35/72)*9 km/hr = 4.375 km
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A will win by 5-4.375 = 5/8 th of a kilometer
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Cheers,
Stan H.
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