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Re: A cyclist travels the length of a bike path that is 225

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A cyclist travels the length of a bike path that is 225 miles long, rounded to the nearest mile. If the trip took him 5 hrs, rounded to the nearest hour, then his average speed must be between:

Length is between 224.5 and 225.4 miles.
Trip is between 4:30 and 5:29 long

We want to maximize and minimize results.

225.4/4.5 = 50.1
224.5/5.5 = 40.8

40.8 <= R <= 50.1

So the range is greater than or equal to 40.8 and less than or equal to 50.1. the only answer choice that allows for all possible values of R is C.


ANSWER: C. 40 and 51 mph

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