document.write( "Question 825055: From the town proper, Eric went to his farm riding on a bicycle at 15 kph. Leaving his bicycle behind, he took a bus which runs at 30 kph. If he was gone for 6 hours in his hometown, how far from the town was his farm? \n" ); document.write( "

Algebra.Com's Answer #497082 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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From the town proper, Eric went to his farm riding on a bicycle at 15 kph.
\n" ); document.write( " Leaving his bicycle behind, he took a bus which runs at 30 kph.
\n" ); document.write( "If he was gone for 6 hours from his hometown, how far from the town was his farm?
\n" ); document.write( ":
\n" ); document.write( "Assume this means he rode his bike to the farm, and took the bus back to town
\n" ); document.write( "let d = dist from town to farm
\n" ); document.write( ":
\n" ); document.write( "Write a time equation; time = dist/speed
\n" ); document.write( " $\"d%2F15\"$ + $\"d%2F30\"$ = 6
\n" ); document.write( "Multiply by 30, cancel the denominators
\n" ); document.write( "2d + d = 180
\n" ); document.write( "3d = 180
\n" ); document.write( "d = 180/3
\n" ); document.write( "d = 60 mi
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check by finding the actual times
\n" ); document.write( "60/15 = 4 hrs
\n" ); document.write( "60/30 = 2 hrs
\n" ); document.write( "--------------
\n" ); document.write( "total: 6 hrs \n" ); document.write( "

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