In a charity triathlon, Mark ran half the distance and swam a quarter of the distance when he took a quick break to get a drink of Gatorade he was just starting to bite the remaining 12 miles what was the total distance of the race?
[tex]\begin{gathered} x=Total\text{ distance} \\ Mark\text{ ran half the distance}=\frac{x}{2} \\ Mark\text{ swam a quarter of the distance}=\frac{x}{4} \\ Mark\text{ will bike 12 miles } \\ Hence \\ \frac{x}{2}+\frac{x}{4}+12=x \\ \frac{3}{4}x+12=x \\ Solving\text{ x} \\ 12=x-\frac{3}{4}x \\ 12=\frac{x}{4} \\ x=12\ast4 \\ x=48 \\ The\text{ total distance of the race was 48 miles.} \end{gathered}[/tex]
