document.write( "Question 1019878: Karen notices that her husband left for the airport without his briefcase. Her husband drives 40 miles per hour and has a 15 minute head start. If Karen drives 60 miles per hour and the airport is 45 miles away, will she catch her husband before he arrives at the airport? \n" ); document.write( "
Algebra.Com's Answer #635831 by josmiceli(19441)\"\" \"About 
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15 min is \"+1%2F4+\" hr
\n" ); document.write( "Her husband's head start is:
\n" ); document.write( "\"+d%5B1%5D+=+40%2A%281%2F4%29+\"
\n" ); document.write( "\"+d%5B1%5D+=+10+\" mi
\n" ); document.write( "-------------------
\n" ); document.write( "Let \"+d+\" = distance Karen drives until
\n" ); document.write( "she catches husband
\n" ); document.write( "Let \"+t+\" = time in hrs it takes
\n" ); document.write( "her to catch husband
\n" ); document.write( "Start a stopwatch when Karen leaves
\n" ); document.write( "-------------------
\n" ); document.write( "Husband's equation:
\n" ); document.write( "(1) \"+d+-+10+=+40t+\"
\n" ); document.write( "Karen's equation:
\n" ); document.write( "(2) \"+d+=+60t+\"
\n" ); document.write( "----------------
\n" ); document.write( "(2) \"+t+=+d%2F60+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+-+10+=+40%2A%28+d%2F60+%29+\"
\n" ); document.write( "(1) \"+60d+-+600+=+40d+\"
\n" ); document.write( "(1) \"+20d+=+600+\"
\n" ); document.write( "(1) \"+d+=+30+\"
\n" ); document.write( "------------------
\n" ); document.write( "She catches him 30 mi from home
\n" ); document.write( "which is less than 45 mi, so the answer
\n" ); document.write( "is yes.
\n" ); document.write( "---------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+t+=+d%2F60+\"
\n" ); document.write( "(2) \"+t+=+30%2F60+\"
\n" ); document.write( "(2) \"+t+=1%2F2+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+-+10+=+40t+\"
\n" ); document.write( "(1) \"+30+-+10+=+40t+\"
\n" ); document.write( "(1) \"+40t+=+20+\"
\n" ); document.write( "(1) \"+t+=+1%2F2+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );