Question

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Answer 1

​The record for the Boston Marathon's wheelchair division is 1 hour, 18 minutes, and 27 seconds.

a) The Boston Marathon is 26.2 miles long. What was the average speed of the record winner of the wheelchair division?​

b) At this rate, about how long would take it take this competitor to complete a 30-mile race?​

First we have to convert the record time to hours.​

18 minutes = 18minutes÷60minutes/h = 0.3 hours​

27 seconds = 27÷3600seconds/h = 0.0075 hours​

​Total record time = 1 hour + 0.3 hour + 0.0075 hour = 1.3075 hours

​Average speed = 26.2 miles/1.3075 hour = 20.03824 ml/h

Answer a) Average speed rounded to the nearest hundredth ≈ 20.04 ml/h​

Time = distance/speed = 30 ml/20.04 ml/h = 1.497 hours

0.497 hours *60minutes/hour = 29.82 minutes​

0.82 minutes *60seconds/minute = 49.2 seconds​

​Answer b) 1 hour, 29 minutes, and 49 seconds

Hope this helps!​

$\textit{\textbf{Spymore}}$​​