document.write( "Question 987623: A jet plane traveling at 500 mph overtakes a propeller plane traveling 150 mph that had a 2 hr head start. How far from the starting point are planes?\r
\n" ); document.write( "\n" ); document.write( "The Planes are ? miles from the starting point.
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Algebra.Com's Answer #608345 by josmiceli(19441)\"\" \"About 
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The headstart for the prop plane is:
\n" ); document.write( "\"+d%5B1%5D+=+150%2A2+\"
\n" ); document.write( "\"+d%5B1%5D+=+300+\" mi
\n" ); document.write( "---------------------
\n" ); document.write( "Start a stop watch when the jet plane leaves
\n" ); document.write( "Let \"+d+\" = the distance in miles the jet travels
\n" ); document.write( "until it catches up with the prop plane
\n" ); document.write( "Let \"+t+\" = the time on the stop watch in hours
\n" ); document.write( "when the jet catches up with the prop plane
\n" ); document.write( "-------------------------------------
\n" ); document.write( "Equation for prop plane:
\n" ); document.write( "(1) \"+d+-+300+=+150t+\"
\n" ); document.write( "Equation for the jet:
\n" ); document.write( "(2) \"+d+=+500t+\"
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\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) \"+500t+-+300+=+150t+\"
\n" ); document.write( "(1) \"+350t+=+300+\"
\n" ); document.write( "(1) \"+t+=+6%2F7+\"
\n" ); document.write( "-----------------
\n" ); document.write( "(2) \"+d+=+500%2A%28+6%2F7+%29+\"
\n" ); document.write( "(2) \"+d+=+428.57+\"
\n" ); document.write( "They are 428.57 mi from starting point
\n" ); document.write( "when jet catches prop plane
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+-+300+=+150t+\"
\n" ); document.write( "(1) \"+428.57+-+300+=+150t+\"
\n" ); document.write( "(1) \"+128.57+=+150%2A%28+6%2F7+%29+\"
\n" ); document.write( "(1) \"+900+=+150%2A6+\"
\n" ); document.write( "(1) \"+900+=+900+\"
\n" ); document.write( "OK
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