document.write( "Question 970136: Jill walks from her home at 8km/h and gets a ride back home at 40km/h. If her total traveling time is half an hour, how long did it take Jill to walk to the movies and how far was it? \n" ); document.write( "

Algebra.Com's Answer #592807 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = distance in km she walks from home
\n" ); document.write( "Let $\"+t+\"$ = time in hours walking from home
\n" ); document.write( " $\"+.5+-+t+\"$ = time spent riding back
\n" ); document.write( "---------------------------------
\n" ); document.write( "Walking from home:
\n" ); document.write( "(1) $\"+d+=+8t+\"$
\n" ); document.write( "Riding back:
\n" ); document.write( "(2) $\"+d+=+40%2A%28+.5+-+t+%29+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) $\"+8t+=+20+-+40t+\"$
\n" ); document.write( "(2) $\"+48t+=+20+\"$
\n" ); document.write( "(2) $\"+t+=+5%2F12+\"$ hrs
\n" ); document.write( "(2) $\"+t+=+%28+5%2F12+%29%2A60+\"$
\n" ); document.write( "(2) $\"+t+=+25+\"$ min
\n" ); document.write( "-----------------
\n" ); document.write( "(1) $\"+d+=+8%2A%28+5%2F12+%29+\"$
\n" ); document.write( "(1) $\"+d+=+10%2F3+\"$
\n" ); document.write( "(1) $\"+d+=+3.333+\"$
\n" ); document.write( "She walked 3.333 km in 25 min
\n" ); document.write( "-----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+d+=+8t+\"$
\n" ); document.write( "(1) $\"+3.333+=+8%2A%28+5%2F12+%29+\"$
\n" ); document.write( "(1) $\"+40+=+40+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+d+=+40%2A%28+.5+-+t+%29+\"$
\n" ); document.write( "(2) $\"+3.333+=+40%2A%28+6%2F12+-+5%2F12+%29+\"$
\n" ); document.write( "(2) $\"+3.333+=+40%2F12+\"$
\n" ); document.write( "(2) $\"+40+=+40+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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