Question

how do i get the right hour when she runs 26. mile marathon at an average pace of 6.2 per mile. how long will take her to finish the marathon ?round answer to the nearest minute . but it has to be the hours and minutes.

Answer 1

well, we know her rate is on average 6.2 miles per 1hr or 6.2 m/h, so how long will it be for 26 miles?

`\begin{array}{ccll} miles&hrs\\ \cline{1-2} 6.2&1\\ 26&x \end{array}\implies \cfrac{6.2}{26}=\cfrac{1}{x}\implies 6.2x=26\implies x = \cfrac{26}{6.2}\implies x \approx 4.19355 \\\\\\ \textit{approximately~~~~ 4hrs 11mins and 37secs}`

how did we get the minutes and seconds? use the same rule or proportions above with hours and minutes, 4.19355, 4 + 0.19355, we know there are 60 mins per 1hr, how many in 0.19355 hrs? well, simply 60 * 19355, which gives us 11 minutes, and you can do the same thing for the seconds.