document.write( "Question 679613: At 7:00 am, Brooke leaves home to go on a business trip driving 35 mph. Fifteen minutes later, Bart discovers that Brooke forgot
\n" ); document.write( "her presentation materials. He drives 50 mph to catch up with her. What time will Bart catch Brooke? \n" ); document.write( "

Algebra.Com's Answer #421984 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+15+\"$ min = $\"+1%2F4+\"$ hr
\n" ); document.write( "Brooke has a head start of $\"+d%5B1%5D+=+35%2A%28+1%2F4+%29+\"$
\n" ); document.write( " $\"+d%5B1%5D+=+8.75+\"$
\n" ); document.write( "Let $\"+d+\"$ = the distance Bart drives to catch Brooke
\n" ); document.write( "Let $\"+t+\"$ = the elapsed time from 7:15 until
\n" ); document.write( "Bart catches Brooke
\n" ); document.write( "--------------------
\n" ); document.write( "Brooke's equation:
\n" ); document.write( "(1) $\"+d+-+8.75+=+35t+\"$
\n" ); document.write( "Bart's equation:
\n" ); document.write( "(2) $\"+d+=+50t+\"$
\n" ); document.write( "--------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+50t+-+8.75+=+35t+\"$
\n" ); document.write( "(1) $\"+15t+=+8.75+\"$
\n" ); document.write( "(1) $\"+t+=+8.75+%2F+15+\"$
\n" ); document.write( "(1) $\"+t+=+.58333+\"$ hrs
\n" ); document.write( "(1) $\"+t+=+.58333+%2A+60+\"$ min
\n" ); document.write( "(1) $\"+t+=+35+\"$ min
\n" ); document.write( "Bart catches Brooke at 7:15 + 35 = 7:50 AM
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