document.write( "Question 525510: Lois rode her bike to a friends at 10 miles per hour. She got a ride back home in a car, traveling 25 miles per hour. It took her 1.5 hours longer when she rode her bike. how far did she travel? \n" ); document.write( "

Algebra.Com's Answer #348129 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"d\"$ = distance to her friends
\n" ); document.write( "Let $\"t\"$ = time it took to get home in car
\n" ); document.write( "given:
\n" ); document.write( " $\"+10+\"$ mi/hr = speed on bike
\n" ); document.write( " $\"+25+\"$ mi/hr = speed in car
\n" ); document.write( " $\"+t+%2B+1.5+\"$ hrs = time to ride bike to friends
\n" ); document.write( "-----------------------------------
\n" ); document.write( "Riding bike:
\n" ); document.write( "(1) $\"+d+=+10%2A%28+t+%2B+1.5+%29+\"$
\n" ); document.write( "Riding in car:
\n" ); document.write( "(2) $\"+d+=+25t+\"$
\n" ); document.write( "-----------
\n" ); document.write( "substitute (2) into (1)
\n" ); document.write( "(1) $\"+25t+=+10t+%2B+15+\"$
\n" ); document.write( "(1) $\"+15t+=+15+\"$
\n" ); document.write( "(1) $\"+t+=+1+\"$ hr
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+d+=+25%2A1+\"$
\n" ); document.write( "(2) $\"+d+=+25+\"$
\n" ); document.write( "She traveled a total of $\"2d\"$ , or 50 miles \n" ); document.write( "

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