document.write( "Question 561662: A jet airplne leaves an airport traveling at a steady rate of 600km/h. Another jet leaves the same airport 3/4 h later traveling 800km/h in the same direction. How long will the second jet take to overtake the first? \n" ); document.write( "
Algebra.Com's Answer #364333 by josmiceli(19441)\"\" \"About 
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How many km head start does the 1st plane have?
\n" ); document.write( "\"+d%5B1%5D+=+600%2A%283%2F4%29+\"
\n" ); document.write( "\"+d%5B1%5D+=+450+\"
\n" ); document.write( "Let \"+t+\" = time for 2nd jet to overtake 1st
\n" ); document.write( "Let \"+d+\" = distance that 2nd jet travels
\n" ); document.write( "-----------------
\n" ); document.write( "Equation for 2nd jet:
\n" ); document.write( "(1) \"+d+=+800t+\"
\n" ); document.write( "Equation for 1st jet:
\n" ); document.write( "(2) \"+d+-+450+=+600t+\"
\n" ); document.write( "( note that \"t\" is the same for both )
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+800t+-+450+=+600t+\"
\n" ); document.write( "(2) \"+200t+=+450+\"
\n" ); document.write( "(2) \"+t+=+2.25+\"
\n" ); document.write( "It will take the 2nd jet 2 hrs and 15 min to overtake 1st
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"+d+=+800%2A2.25+\"
\n" ); document.write( "(1) \"+d+=+1800+\" km
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+-+450+=+600%2A2.25+\"
\n" ); document.write( "(2) \"+d+=+1350+%2B+450+\"
\n" ); document.write( "(2) \"+d+=+1800+\" km
\n" ); document.write( "OK
\n" ); document.write( "
\n" );