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

Question

2 years ago

12

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

Mathematics

1 answer:

Lynna [10] · Answer 1 · 2022-03-25T10:23:33+03:00

Lynna [10]2 years ago

5 0

Distance Keith ran = 26 miles

Time it took
= 3 hours 2 minutes = [(3 * 60) + 2] minutes = (180 + 2) minutes = 182 minutes

Hence,

Speed (Rate) = $\frac{Distance}{Time} = \frac{26}{182} = \frac{13}{91} = \frac{1}{7}$ miles per minute

Hence,

Time taken to complete 1 mile
= $\frac{Distance}{Speed} = \frac{1}{ \frac{1}{7} } = 1 * \frac{7}{1}$
= 7 minutes

Hence, the answer is B.