document.write( "Question 998134: Marlene rides her bicycle to her friend jhon's house and returns homeboy the same route. Marlene rides her bike at a constant speed of 6 mph on level ground, 4mph when going uphill, and 12 mph when going downhill. If her total time riding was 1 hour, how far is it to jhon's house??? \n" ); document.write( "

Algebra.Com's Answer #642469 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Marlene rides her bicycle to her friend jhon's house and returns home by the same route.
\n" ); document.write( " Marlene rides her bike at a constant speed of 6 mph on level ground, 4mph when going uphill, and 12 mph when going downhill.
\n" ); document.write( " If her total time riding was 1 hour, how far is it to jhon's house???
\n" ); document.write( ":
\n" ); document.write( "Let f = dist rode on level ground (one-way)
\n" ); document.write( "let h = dist rode on the hill (up or down)
\n" ); document.write( ":
\n" ); document.write( "Write a time equation for the round trip. (Time = dist/speed
\n" ); document.write( " $\"f%2F6\"$ + $\"h%2F4\"$ + $\"h%2F12\"$ + $\"f%2F6\"$ = 1
\n" ); document.write( "Get rid of the denominators, multiply by 12
\n" ); document.write( "2f + 3h + h + 2f = 12
\n" ); document.write( "4f + 4h = 12
\n" ); document.write( "simplify, divide by 4
\n" ); document.write( "f + h = 3 mi to her friends house
\n" ); document.write( ":
\n" ); document.write( "Sorry, this took awhile for me to figure out. CK \n" ); document.write( "

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