document.write( "Question 1004689: A man on a motorcycle travels at 45mph down a road. His wife leaves 1 hour later down the same road to bring him his lunch. She is driving the car at 55mph. How long did each of them travel? \n" ); document.write( "
Algebra.Com's Answer #621082 by josmiceli(19441)\"\" \"About 
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Let \"+d+\" = the distance each one travels in miles
\n" ); document.write( "Let \"+t+\" = the time in hours it takes for the man
\n" ); document.write( "to reach the point where his wife catches up
\n" ); document.write( "\"+t+-+1+\" = time in hours for wife to catch man
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "Man's equation:
\n" ); document.write( "\"+d+=+45t+\"
\n" ); document.write( "Wife's equation:
\n" ); document.write( "\"+d+=+55%2A%28+t-1+%29+\"
\n" ); document.write( "-----------------
\n" ); document.write( "By susbstitution:
\n" ); document.write( "\"+45t+=+55%2A%28+t-1+%29+\"
\n" ); document.write( "\"+45t+=+55t+-+55+\"
\n" ); document.write( "\"+10t+=+55+\"
\n" ); document.write( "\"+t+=+5.5+\"
\n" ); document.write( "and
\n" ); document.write( "\"+t+-+1+=+4.5+\"
\n" ); document.write( "---------------
\n" ); document.write( "The man travels for 5.5 hrs
\n" ); document.write( "His wife travels for 4.5 hrs
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+d+=+45t+\"
\n" ); document.write( "\"+d+=+45%2A5.5+\"
\n" ); document.write( "\"+d+=+247.5+\"
\n" ); document.write( "and
\n" ); document.write( "\"+d+=+55%2A%28+t-1+%29+\"
\n" ); document.write( "\"+d+=+55%2A4.5+\"
\n" ); document.write( "\"+d+=+247.5+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );