document.write( "Question 958231: A pilot flies a jet 6000 miles. He states that to reduce the flight time by 1 hour he would need to increase his speed by 200 mph. What is the speed of the jet \n" ); document.write( "
Algebra.Com's Answer #585740 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = his normal speed
\n" ); document.write( "Let \"+t+\" = his normal time
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\n" ); document.write( "(1) \"+6000+=+s%2At+\"
\n" ); document.write( "(2) \"+6000+=+%28+s+%2B+200+%29%2A%28+t+-+1+%29+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) \"+t+=+6000%2Fs+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+6000+=+s%2At+%2B+200t+-+s+-+200+\"
\n" ); document.write( "(2) \"+6200+=+s%2A%28+6000%2Fs+%29+%2B+200%2A%28+6000%2Fs+%29+-+s+\"
\n" ); document.write( "(2) \"+6200+=+6000+%2B+1200000%2Fs+-+s+\"
\n" ); document.write( "(2) \"+200+=+1200000%2Fs+-+s+\"
\n" ); document.write( "(2) \"+200s+=+1200000+-+s%5E2+\"
\n" ); document.write( "(2) \"+s%5E2+%2B+200s+=+1200000+\"
\n" ); document.write( "(2) \"+s%5E2+%2B+200s+%2B+%28200%2F2+%29%5E2+=+%28+200%2F2+%29%5E2+%2B+1200000+\"
\n" ); document.write( "(2) \"+s%5E2+%2B+200s+%2B+10000+=+1210000+\"
\n" ); document.write( "(2) \"+%28+s+%2B+100+%29%5E2+=+1100+\"
\n" ); document.write( "(2) \"+s+%2B+100+=+1100+\"
\n" ); document.write( "(2) \"+s+=+1000+\"
\n" ); document.write( "The speed of the jet is 1000 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "\"+t+=+6000%2Fs+\"
\n" ); document.write( "\"+t+=+6000+%2F+1000+\"
\n" ); document.write( "\"+t+=+6+\"
\n" ); document.write( "(2) \"+6000+=+%28+s+%2B+200+%29%2A%28+t+-+1+%29+\"
\n" ); document.write( "(2) \"+6000+=+%28+1000+%2B+200+%29%2A%28+6+-+1+%29+\"
\n" ); document.write( "(2) \"+6000+=+1200%2A5+\"
\n" ); document.write( "(2) \"+6000+=+6000+\"
\n" ); document.write( "OK\r
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