document.write( "Question 1165846: Andrea ran and biked for a total of 32 miles in 4 hours. Her average running speed was 5 mph and her average biking speed was 13 mph.
\n" ); document.write( "Let x= total hours Andrea ran
\n" ); document.write( "Let y= total hours Andrea bikes
\n" ); document.write( "Use substitution to solve for x and y.
\n" ); document.write( "a) How many hours did Andrea run?
\n" ); document.write( "b) how many hours did Andrea bike?
\n" ); document.write( "

Algebra.Com's Answer #790324 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
so total distance on bike was 13y miles
\n" ); document.write( "and running is 5x miles
\n" ); document.write( "5x+13y=32
\n" ); document.write( "x+y=4, so x=4-y
\n" ); document.write( "5(4-y)+13y=32
\n" ); document.write( "20-5y+13y=32
\n" ); document.write( "8y=12
\n" ); document.write( "y=1.5 hours on the bike or 19.5 miles
\n" ); document.write( "x=2.5 hours running or 12.5 miles
\n" ); document.write( "
\n" );