document.write( "Question 879274: A plane leaves Chicago flying due east at 225 mph. While a train that left 2 1/4 hours earlier is going due east at 85 mph. How much time will it take them to be 750 miles apart? \n" ); document.write( "
Algebra.Com's Answer #530740 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
What is the train's head start?
\n" ); document.write( "\"+d%5B1%5D+=+85%2A2.25+\"
\n" ); document.write( "\"+d%5B1%5D+=+191.25+\" mi
\n" ); document.write( "----------------------
\n" ); document.write( "Let \"+d+\" = the distance the plane travels
\n" ); document.write( "when they are \"+750+\" mi apart
\n" ); document.write( "Let \"+t+\" = the time that the plane travels
\n" ); document.write( "when they are \"+750+\" mi apart
\n" ); document.write( "--------------------------------
\n" ); document.write( "Plane's equation:
\n" ); document.write( "(1) \"+d+=+225t+\"
\n" ); document.write( "Train's equation:
\n" ); document.write( "(2) \"+%28+d+-+191.25+%29+-+750+=+85t+\"
\n" ); document.write( "-------------------------------
\n" ); document.write( "(2) \"+d+-+941.25+=+85t+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+225t+-+941.25+=+85t+\"
\n" ); document.write( "(2) \"+140t+=+941.25+\"
\n" ); document.write( "(2) \"+t+=+6.7232+\"
\n" ); document.write( "also \"+.7232%2A60+=+43+\"
\n" ); document.write( "It will take them 6 hrs and 43 min
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+225t+\"
\n" ); document.write( "(1) \"+d+=+225%2A6.7232+\"
\n" ); document.write( "(1) \"+d+=+1512.72+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+%28+d+-+191.25+%29+-+750+=+85t+\"
\n" ); document.write( "(2) \"+%28+d+-+191.25+%29+-+750+=+85%2A6.7232+\"
\n" ); document.write( "(2) \"+d+-+941.25+=+571.472+\"
\n" ); document.write( "(2) \"+d+=+1512.72+\"
\n" ); document.write( "OK\r
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