document.write( "Question 1042682: A private jet flies the same distance in 13 he's that a commercial jet flies in 9 he's.if the speed of the commercial jet was 110mph less than 2 times the speed of the private jet,find the speed of each j
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Algebra.Com's Answer #657699 by josmiceli(19441)\"\" \"About 
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Let \"+s%5B1%5D+\" = the speed of the private jet in mi/hr
\n" ); document.write( "Let \"+s%5B2%5D+\" = the speed of the commercial jet in mi/hr
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+s%5B2%5D+=+2%2As%5B1%5D+-+110+\"
\n" ); document.write( "Let \"+d+\" = distance flown by both planes
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\n" ); document.write( "(2) \"+d+=+s%5B1%5D%2A13+\"
\n" ); document.write( "(3) \"+d+=+s%5B2%5D%2A9+\"
\n" ); document.write( "------------------
\n" ); document.write( "From (2) and (3):
\n" ); document.write( "\"+13s%5B1%5D+=+9s%5B2%5D+\"
\n" ); document.write( "\"+s%5B2%5D+=+%2813%2F9%29%2As%5B1%5D+\"
\n" ); document.write( "-------------------
\n" ); document.write( "Plug this last result into (1)
\n" ); document.write( "(1) \"+s%5B2%5D+=+2%2As%5B1%5D+-+110+\"
\n" ); document.write( "(1) \"+%2813%2F9%29%2As%5B1%5D+=+2%2As%5B1%5D+-+110+\"
\n" ); document.write( "(1) \"+13s%5B1%5D+=+18s%5B1%5D+-+990+\"
\n" ); document.write( "(1) \"+5s%5B1%5D+=+990+\"
\n" ); document.write( "(1) \"+s%5B1%5D+=+198+\"
\n" ); document.write( "and
\n" ); document.write( "\"+s%5B2%5D+=+%2813%2F9%29%2As%5B1%5D+\"
\n" ); document.write( "\"+s%5B2%5D+=+%2813%2F9%29%2A198+\"
\n" ); document.write( "\"+s%5B2%5D+=+13%2A22+\"
\n" ); document.write( "\"+s%5B2%5D+=+286+\"
\n" ); document.write( "The speed of the private jet is 198 mi/hr
\n" ); document.write( "The speed of the commercial jet is 286 mi/hr
\n" ); document.write( "-----------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+s%5B2%5D+=+2%2As%5B1%5D+-+110+\"
\n" ); document.write( "(1) \"+286+=+2%2A198+-+110+\"
\n" ); document.write( "(1) \"+286+=+396+-+110+\"
\n" ); document.write( "(1) \"+286+=+286+\"
\n" ); document.write( "OK
\n" ); document.write( "(2) \"+d+=+s%5B1%5D%2A13+\"
\n" ); document.write( "(2) \"+d+=+198%2A13+\"
\n" ); document.write( "(2) \"+d+=+2574+\"
\n" ); document.write( "and
\n" ); document.write( "(3) \"+d+=+s%5B2%5D%2A9+\"
\n" ); document.write( "(3) \"+d+=+286%2A9+\"
\n" ); document.write( "(3) \"+d+=+2574+\"
\n" ); document.write( "OK
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