<PRE><B>Question 880936</B>
suppose you have entered a 121-mile biathlon that consists of a run and bicycle race. During your run, your average velocity is 6 miles per hours, and during your bicycle race, your average velocity is 23 miles per hour. You finish the race in 6 hours. What is the distance of the run? What is the distance of the bicycle race?
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let x=distance of the running race
121-x=distance of the bicycle race
travel time=distance/velocity
..
{{{x/6+(121-x)/23=6}}}
lcd=6*23=138
23x+6(121-x)=6*138
23x+726-6x=828
17x=102
x=6
121-x=115
distance of the running race = 6 miles
distance of the bicycle race=115 miles</PRE>