document.write( "Question 583659: Get a jet leave an airport traveling at a steady rate of 600 km/h another jet leave for airport at three fourths of an hour later traveling at 800 km/h in the same direction how long will it take for the second Jets overtake the first \n" ); document.write( "
Algebra.Com's Answer #372541 by josmiceli(19441)\"\" \"About 
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How much of a head start does the 1st jet have?
\n" ); document.write( "\"+d%5B1%5D+=+600%2A.75+\"
\n" ); document.write( "\"+d%5B1%5D+=+450+\" km head start
\n" ); document.write( "-------------
\n" ); document.write( "Now start a stopwatch when the 2nd plane leaves
\n" ); document.write( "They will both fly for the same amount of time
\n" ); document.write( "until they meet
\n" ); document.write( "Let \"+t+\" = the time in hrs they both have to fly
\n" ); document.write( "Let \"+d+\" = the distance in km 2nd plane has to fly
\n" ); document.write( "-------------
\n" ); document.write( "Equation for 1st plane:
\n" ); document.write( "\"+d+-+450+=+600t+\"
\n" ); document.write( "Equation for 2nd plane:
\n" ); document.write( "\"+d+=+800t+\"
\n" ); document.write( "------------
\n" ); document.write( "By substitution:
\n" ); document.write( "\"+800t+-+450+=+600t+\"
\n" ); document.write( "\"+200t+=+450+\"
\n" ); document.write( "\"+t+=+2.25+\" hrs
\n" ); document.write( "It will take the 2nd jet 2 hrs and 15 min to overtake the 1st
\n" ); document.write( "check answer:
\n" ); document.write( "\"+d+=+800t+\"
\n" ); document.write( "\"+d+=+800%2A2.25+\"
\n" ); document.write( "\"+d+=+1800+\" km
\n" ); document.write( "and
\n" ); document.write( "\"+d+-+450+=+600t+\"
\n" ); document.write( "\"+d+-+450+=+600%2A2.25+\"
\n" ); document.write( "\"+d+-+450+=+1350+\"
\n" ); document.write( "\"+d+=+1800+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );