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)   (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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