document.write( "Question 846211: A girl walked from her home to the fitness center at 6 km/h. She stayed at the gym for 45 min then got a ride home at 48 km/h. If she returned 1.5 hours after starting out, find the distance from the home to the fitness center. \n" ); document.write( "

Algebra.Com's Answer #509658 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d+\"$ = distance to fitness center
\n" ); document.write( "Let $\"+t++\"$ = time to get there
\n" ); document.write( " $\"+t+=+d%2F6+\"$ hrs
\n" ); document.write( "----------------------
\n" ); document.write( " $\"+1.5+\"$ hrs = $\"+90+\"$ min
\n" ); document.write( " $\"+90+-+45+=+45+\"$
\n" ); document.write( "Her time spent traveling is $\"+45+\"$ min
\n" ); document.write( "or $\"+3%2F4+\"$ hrs
\n" ); document.write( "----------------------
\n" ); document.write( "Her time coming home is:
\n" ); document.write( " $\"+t+=+d%2F48+\"$ hrs
\n" ); document.write( "----------------------
\n" ); document.write( " $\"+d%2F6+%2B+d%2F48+=+3%2F4+\"$
\n" ); document.write( "Multiply both sides by $\"+48+\"$
\n" ); document.write( " $\"+8d+%2B+d+=+36+\"$
\n" ); document.write( " $\"+9d+=+36+\"$
\n" ); document.write( " $\"+d+=+4+\"$
\n" ); document.write( "the distance from the home to the fitness center
\n" ); document.write( "is 4 km
\n" ); document.write( " \n" ); document.write( "

\n" );