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A coal train engineer makes a trip of 580 miles in a total of 12 hours. He travels the first part of the trip by car at 40 mph. The second part of the trip is by train at 60 mph. How far does he travel by car? How far by train?\r
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\n" ); document.write( "\n" ); document.write( "let x=miles traveled first part of trip
\n" ); document.write( "then 580-x =miles traveled second part of trip
\n" ); document.write( "time traveled = distance/speed
\n" ); document.write( "x/40=travel time for first part
\n" ); document.write( "(580-x)/60=travel time for second part
\n" ); document.write( "total time traveled as given=12hours
\n" ); document.write( "12=x/40+(580-x)/60
\n" ); document.write( "LCD=120
\n" ); document.write( "1440=3x+1160-2x
\n" ); document.write( "x=1440-1160
\n" ); document.write( "x=280 miles
\n" ); document.write( "580-x=300 miles
\n" ); document.write( "ans:
\n" ); document.write( "The coal-train engineer traveled 280 miles by car and 300 miles by train.\r
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