document.write( "Question 1084487: a boeing 747 flew from san Francisco to Honolulu, a distance of 2900 miles. Flying with the wind, it averaged 600 miles per hour. When the wind changed from tailwind to headwind, the planes speed dropped to 550 miles per hour. If the total time of the trip was 5 hours, determine the length of the time it flew at each speed \n" ); document.write( "
Algebra.Com's Answer #698583 by josmiceli(19441)\"\" \"About 
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Let \"+t+\" = time in hrs the plane flew at \"+600+\" mi/hr
\n" ); document.write( "\"+5+-+t+\" = time in hrs the plane flew at \"+550+\" mi/hr
\n" ); document.write( "Let \"+d+\" = distance in miles the plane flew at \"+600+\" mi/hr
\n" ); document.write( "\"+2900+-+d+\" = distance in miles the plane flew at \"+550+\" mi/hr
\n" ); document.write( "-----------------------------------------------------------
\n" ); document.write( "Flying with a tailwind:
\n" ); document.write( "(1) \"+d+=+600t+\"
\n" ); document.write( "Flying with a headwind:
\n" ); document.write( "(2) \"+2900+-+d+=+550%2A%28+5+-+t+%29+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+2900+-+600t+=+550%2A%28+5+-+t+%29+\"
\n" ); document.write( "(2) \"+2900+-+600t+=+2750+-+550t+\"
\n" ); document.write( "(2) \"+50t+=+150+\"
\n" ); document.write( "(2) \"+t+=+3+\"
\n" ); document.write( "and
\n" ); document.write( "\"+5+-+t+=+5+-+3+\"
\n" ); document.write( "\"+5+-+t+=+2+\"
\n" ); document.write( "----------------------
\n" ); document.write( "The plane flew for 3 hrs at 600 mi/hr
\n" ); document.write( "The plane flew for 2 hrs at 550 mi/hr
\n" ); document.write( "--------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+600t+\"
\n" ); document.write( "(1) \"+d+=+600%2A3+\"
\n" ); document.write( "(1) \"+d+=+1800+\" mi
\n" ); document.write( "and
\n" ); document.write( "(2) \"+2900+-+d+=+550%2A%28+5+-+t+%29+\"
\n" ); document.write( "(2) \"+2900+-+d+=+550%2A2+\"
\n" ); document.write( "(2) \"+d+=+2900+-+1100+\"
\n" ); document.write( "(2) \"+d+=+1800+\" mi
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );