document.write( "Question 995512: Mary and Janet are running in the Apple hill fun run. Mary runs at 7 mph, Janet at 5mph. If they start at the same time, how long will it be before they are 1.5 miles apart . \n" ); document.write( "

Algebra.Com's Answer #614251 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = the distance in miles
\n" ); document.write( "Mary travels in time $\"+t+\"$ in hrs
\n" ); document.write( " $\"+d+-+1.5+\"$ = the distance in miles
\n" ); document.write( "Janet travels in time $\"+t+\"$ in hrs
\n" ); document.write( "-----------------------------
\n" ); document.write( "Mary's equation:
\n" ); document.write( "(1) $\"+d+=+7t+\"$
\n" ); document.write( "Janet's equation:
\n" ); document.write( "(2) $\"+d+-+1.5+=+5t+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+7t+-+1.5+=+5t+\"$
\n" ); document.write( "(2) $\"+2t+=+1.5+\"$
\n" ); document.write( "(2) $\"+t+=+.75+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+.75%2A60+=+45+\"$
\n" ); document.write( "In 45 min they will be 1.5 mi apart
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+d+=+7t+\"$
\n" ); document.write( "(1) $\"+d+=+7%2A.75+\"$
\n" ); document.write( "(1) $\"+d+=+5.25+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+d+-+1.5+=+5t+\"$
\n" ); document.write( "(2) $\"+d+-+1.5+=+5%2A.75+\"$
\n" ); document.write( "(2) $\"+d+-+1.5+=+3.75+\"$
\n" ); document.write( "(2) $\"+d+=+5.25+\"$
\n" ); document.write( "OK \n" ); document.write( "

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