Keith ran in a marathon. It took him 3 hours and 2 minutes to run 26 miles. If he ran at the same rate for the whole race, how m
any minutes did it take him to run each mile? (1 hour = 60 minutes)
A.) 6 minutes
B.) 7 minutes
C.) 8 minutes
D.) 9 minutes
1 answer:
Distance Keith ran = 26 miles
Time it took
= 3 hours 2 minutes = [(3 * 60) + 2] minutes = (180 + 2) minutes = 182 minutes
Hence,
Speed (Rate) =
![\frac{Distance}{Time} = \frac{26}{182} = \frac{13}{91} = \frac{1}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7BDistance%7D%7BTime%7D%20%3D%20%20%5Cfrac%7B26%7D%7B182%7D%20%3D%20%20%5Cfrac%7B13%7D%7B91%7D%20%3D%20%20%5Cfrac%7B1%7D%7B7%7D%20)
miles per minute
Hence,
Time taken to complete 1 mile
=
![\frac{Distance}{Speed} = \frac{1}{ \frac{1}{7} } = 1 * \frac{7}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7BDistance%7D%7BSpeed%7D%20%3D%20%20%5Cfrac%7B1%7D%7B%20%5Cfrac%7B1%7D%7B7%7D%20%7D%20%3D%201%20%2A%20%20%5Cfrac%7B7%7D%7B1%7D%20)
= 7 minutes
Hence, the answer is B.
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