Question

Record for 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 for the record winner of the wheelchair division? round to the nearest hundredth.

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

Answer 1

1 hr 18 minutes and 27 seconds hmmm

there are 60 minutes in 1 hr, thus 18 minutes is 18/60 hrs or 0.3hr.

so 1hr 18min is 1.3 hrs

there are 60 seconds in 1 minute and 60 minutes in 1 hr, thus 60*60 seconds in 1hr, or 3600 seconds, so, 27 seconds is just 27/3600 hrs, or 0.0075 hrs.

so, 1.3 hr or 1.3000 hr for that matter plus 0.0075, is just 1.3075 hrs.

a)

so, they covered 26.2 miles in 1.3075 hrs, so the average speed is just 26.2/1.3075, or about 20.0382409177 miles/hr

b)


`\bf \begin{array}{ccll} miles&hrs\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 26.2&1.3075\\ 30&h \end{array}\implies \cfrac{26.2}{30}=\cfrac{1.3075}{h}\implies h=\cfrac{1.3075\cdot 30}{26.2}`