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A cyclist travels the length of a bike path that is 225 miles long,

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GeminiHeat
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A cyclist travels the length of a bike path that is 225 miles long, [#permalink] New post   31 Mar 2021, 09:27
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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:

A. 38 and 50 mph

B. 40 and 50 mph

C. 40 and 51 mph

D. 41 and 50 mph

E. 41 and 51 mph
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Re: A cyclist travels the length of a bike path that is 225 miles long, [#permalink] New post   31 Mar 2021, 10:25
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GeminiHeat wrote:
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:

A. 38 and 50 mph

B. 40 and 50 mph

C. 40 and 51 mph

D. 41 and 50 mph

E. 41 and 51 mph


For Distance:
224.5 < 225 < 225.5

For Time:
4.5 < 5 < 5.5

For Speed:
Case I: \(\frac{224.5}{4.5} = 49.88\)

Case II: \(\frac{224.5}{5.5} = 40.81\)

Case III: \(\frac{225.5}{4.5} = 50.11\)

Case IV: \(\frac{225.5}{5.5} = 41\)

All these values lie between 40 and 51
Hence, option C
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gmatclubot
Re: A cyclist travels the length of a bike path that is 225 miles long, [#permalink]
31 Mar 2021, 10:25
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