document.write( "Question 406329: Suppose that you have entered a 90-mile biathlon that consists of a run and bicycle race. During your run, your average rate is 7 mph and during your bicycle race, your average rate is 26 mph. You finish the race in 5 hours. What is the distance of the run and what is the distance of the bicycle race? Round your answer to the nearest tenth of a mile. \n" ); document.write( "

Algebra.Com's Answer #286765 by stanbon(75887) $\"\"$ $\"About$

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Suppose that you have entered a 90-mile biathlon that consists of a run and bicycle race. During your run, your average rate is 7 mph and during your bicycle race, your average rate is 26 mph. You finish the race in 5 hours. What is the distance of the run and what is the distance of the bicycle race? Round your answer to the nearest tenth of a mile.
\n" ); document.write( "----------------------------------------
\n" ); document.write( "Run DATA:
\n" ); document.write( "rate = 7 mph; time = x hrs ; distance = 7x miles
\n" ); document.write( "----
\n" ); document.write( "Bike DATA:
\n" ); document.write( "rate = 26 mph; time = 5-x hrs ; distance = 26(5-x) miles
\n" ); document.write( "----
\n" ); document.write( "Equation:
\n" ); document.write( "distance + distance = 90 miles
\n" ); document.write( "7x + 26*5 - 26x = 90
\n" ); document.write( "-19x = -40
\n" ); document.write( "x = 40/19 hrs
\n" ); document.write( "===================================================
\n" ); document.write( "7x = 280/19 = 14.73 miles of running
\n" ); document.write( "---
\n" ); document.write( "90-14.73 = 75.26 miles of biking.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "============ \n" ); document.write( "

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