Mathematics
naviya56
48

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 many 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

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(1) Answers
Bucholtz970

Distance Keith ran = 26 miles Time it took = 3 hours 2 minutes = [(3 * 60) + 2] minutes = (180 + 2) minutes = 182 minutes Hence,  Speed (Rate) = [latex] \frac{Distance}{Time} = \frac{26}{182} = \frac{13}{91} = \frac{1}{7} [/latex] miles per minute Hence, Time taken to complete 1 mile = [latex] \frac{Distance}{Speed} = \frac{1}{ \frac{1}{7} } = 1 * \frac{7}{1} [/latex] = 7 minutes  Hence, the answer is B.

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