Question

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?

Answer 1

`\begin{gathered} x=Total\text{ distance} \\ Mark\text{ ran half the distance}=(x)/(2) \\ Mark\text{ swam a quarter of the distance}=(x)/(4) \\ Mark\text{ will bike 12 miles } \\ Hence \\ (x)/(2)+(x)/(4)+12=x \\ (3)/(4)x+12=x \\ Solving\text{ x} \\ 12=x-(3)/(4)x \\ 12=(x)/(4) \\ x=12\ast4 \\ x=48 \\ The\text{ total distance of the race was 48 miles.} \end{gathered}`