document.write( "Question 955979: Michael drove to work on Monday at 45 mph and arrived one minute early. The employee drove to work on Tuesday, leaving home at the same time driving 40 mph and arriving one minute late. How far does Michael live from work? What speed does he need to drive to arrive 5 minutes early? \n" ); document.write( "
Algebra.Com's Answer #584007 by lwsshak3(11628)\"\" \"About 
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Michael drove to work on Monday at 45 mph and arrived one minute early. The employee drove to work on Tuesday, leaving home at the same time driving 40 mph and arriving one minute late. How far does Michael live from work? What speed does he need to drive to arrive 5 minutes early?
\n" ); document.write( "***
\n" ); document.write( "min=1/60 hr
\n" ); document.write( "d=distance
\n" ); document.write( "s=speed
\n" ); document.write( "let x=0n-time travel time
\n" ); document.write( "distance/speed=travel time
\n" ); document.write( "d/45=x-(1/60)
\n" ); document.write( "d/40=x+(1/60)
\n" ); document.write( "45(x-(1/60)=40(x+(1/60)
\n" ); document.write( "45x-45/60=40x+40/60
\n" ); document.write( "5x=95/60
\n" ); document.write( "x=95/300 hr or 19 min (on-time travel time)
\n" ); document.write( "d=45(x-(1/60)=45(95/300-5/300)=45(90/300)=13.5 mi
\n" ); document.write( "d/s=95/300-5/60
\n" ); document.write( "13.5/s=95/300-25/300=70/300
\n" ); document.write( "s=13.5/(70/300)≈57.86 mph
\n" ); document.write( "How far does Michael live from work? 13.5 mi
\n" ); document.write( "What speed does he need to drive to arrive 5 minutes early? 57.86 mph \n" ); document.write( "
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