document.write( "Question 905927: Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels
\n" ); document.write( "75
\n" ); document.write( "/kmh
\n" ); document.write( " slower than the other. If the two planes are
\n" ); document.write( "6892km
\n" ); document.write( " apart after
\n" ); document.write( "4
\n" ); document.write( " hours, what is the rate of each plane?
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Algebra.Com's Answer #549524 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+d+\" = the distance in km the faster plane travels in km
\n" ); document.write( "\"+6892+-+d+\" = the distance the slower plane travels in km
\n" ); document.write( "Let \"+s+\" = the speed of the faster plane in km/hr
\n" ); document.write( "\"+s+-+75+\" = the speed of the slower plane in km/hr
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\n" ); document.write( "Equation for faster plane:
\n" ); document.write( "(1) \"+d+=+s%2A4+\"
\n" ); document.write( "Equation for slower plane:
\n" ); document.write( "(2) \"+6892+-+d+=+%28+s+-+75+%29%2A4+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+6892+-+4s+=+%28+s+-+75+%29%2A4+\"
\n" ); document.write( "(2) \"+6892+-+4s+=+4s+-+300+\"
\n" ); document.write( "(2) \"+8s+=+7192+\"
\n" ); document.write( "(2) \"+s+=+899+\"
\n" ); document.write( "and
\n" ); document.write( "\"+s+-+75+=+824+\"
\n" ); document.write( "-----------------
\n" ); document.write( "The speed of the faster plane is 899 km/hr
\n" ); document.write( "The speed of the slower plane is 824 km/hr
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+6892+-+d+=+%28+s+-+75+%29%2A4+\"
\n" ); document.write( "(2) \"+6892+-+d+=+824%2A4+\"
\n" ); document.write( "(2) \"+d+=+6892+-+3296+\"
\n" ); document.write( "(2) \"+d+=+3596+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+=+s%2A4+\"
\n" ); document.write( "(1) \"+d+=+899%2A4+\"
\n" ); document.write( "(1) \"+d+=+3596+\"
\n" ); document.write( "OK\r
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