SOLUTION: Kim bicycles 5 km/h faster than Tim. In the time that it takes Tim to bicycle 42 km, Kim can bicycle 57 km. How fast does Kim travel?

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Question 1068128: Kim bicycles 5 km/h faster than Tim. In the time that it takes Tim to bicycle 42 km, Kim can bicycle 57 km. How fast does Kim travel?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Kim bicycles 5 km/h faster than Tim. In the time that it takes Tim to bicycle 42 km, Kim can bicycle 57 km. How fast does Kim travel?
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Tim DATA:
rate = r km/hr ; time = t hrs ; distance = r*t = 42 km
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Kim DATA:
rate = r+5 km/hr ; time = t hrs ; distance = (r+5)t = 57 km
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Equation:
rt + 5t = 57
42 + 5t = 57
5t = 15
time = 3 hrs
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Ans: Kim rate = dist/time = 57/3 = 19 km/hr
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Cheers,
Stan H.
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