document.write( "Question 495201: A man drives at a speed of 40 miles/hr. His wife left 30 mins. late with 50 miles/hr speed. when will they meet \n" ); document.write( "

Algebra.Com's Answer #336012 by josmiceli(19441) $\"\"$ $\"About$

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The man has a head start of:
\n" ); document.write( " $\"+d+=+40%2A%281%2F2%29+\"$
\n" ); document.write( " $\"+d+=+20+\"$ mi
\n" ); document.write( "------------
\n" ); document.write( "Start a stopwatch when the wife leaves
\n" ); document.write( "Let $\"+d%5Bw%5D+\"$ = her distance to when they meet
\n" ); document.write( "For man:
\n" ); document.write( "(1) $\"+d%5Bw%5D+-+20+=+40t+\"$
\n" ); document.write( "For wife:
\n" ); document.write( "(2) $\"+d%5Bw%5D+=+50t+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+50t+-+20+=+40t+\"$
\n" ); document.write( "(1) $\"+10t+=+20+\"$
\n" ); document.write( " $\"+t+=+2+\"$
\n" ); document.write( "They will meet in 2 hrs
\n" ); document.write( "check answer:
\n" ); document.write( "(1) $\"+d%5Bw%5D+-+20+=+40t+\"$
\n" ); document.write( "(1) $\"+d%5Bw%5D+=+40%2A2+%2B+20+\"$
\n" ); document.write( "(1) $\"+d%5Bw%5D+=+100+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+d%5Bw%5D+=+50t+\"$
\n" ); document.write( "(2) $\"+d%5Bw%5D+=+50%2A2+\"$
\n" ); document.write( "(2) $\"+d%5Bw%5D+=+100+\"$
\n" ); document.write( "OK \n" ); document.write( "

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