document.write( "Question 761845: Thirty minutes after a father left for work on the bus, he noticed that he had left his briefcase at home. His son left hom driving at 40mph, to catch the bus that was traveling at 24mph. How long did it take the son to catch the bus? \n" ); document.write( "
Algebra.Com's Answer #463552 by josmiceli(19441)\"\" \"About 
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The father had a head start of 30 min
\n" ); document.write( "In terms of distance his head start was
\n" ); document.write( "\"+d%5B1%5D+=+24%2A%281%2F2%29+\"
\n" ); document.write( "\"+d%5B1%5D+=+12+\" mi
\n" ); document.write( "--------------
\n" ); document.write( "Start a stopwatch when the Son leaves
\n" ); document.write( "Let \"+t+\" = time on stopwatch when
\n" ); document.write( "Son catches Father
\n" ); document.write( "Let \"+d+\" = distance that Son travels
\n" ); document.write( "until he catches Father
\n" ); document.write( "---------------
\n" ); document.write( "Father's equation:
\n" ); document.write( "\"+d+-+12+=+24t+\"
\n" ); document.write( "---------------
\n" ); document.write( "Son's equation:
\n" ); document.write( "\"+d+=+40t+\"
\n" ); document.write( "---------------
\n" ); document.write( "By substitution:
\n" ); document.write( "\"+40t+-+12++=+24t+\"
\n" ); document.write( "\"+16t+=+12+\"
\n" ); document.write( "\"+t+=+.75+\" hrs
\n" ); document.write( "\"+.75%2A60+=+45+\" min
\n" ); document.write( "It took the Son 45 min to catch the bus
\n" ); document.write( "check:
\n" ); document.write( "\"+d+=+40t+\"
\n" ); document.write( "\"+d+=+40%2A.75+\"
\n" ); document.write( "\"+d+=+30+\"
\n" ); document.write( "and
\n" ); document.write( "\"+d+-+12+=+24t+\"
\n" ); document.write( "\"+d+-+12+=+24%2A.75+\"
\n" ); document.write( "\"+d+=+12+%2B+18+\"
\n" ); document.write( "\"+d+=+30+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
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