document.write( "Question 421537: Hindered by a strong wind, a jet flew 15% slower than usual and made a 4000 mile trip in 30 minutes longer than usual. What is the usual speed of the jet? \n" ); document.write( "

Algebra.Com's Answer #294378 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"s\"$ = it's usual speed in mi/hr
\n" ); document.write( "Let $\"t\"$ = it's usual time in hrs
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+4000+=+s%2At+\"$
\n" ); document.write( "(2) $\"+4000+=+%28s+-+.15s%29%2A%28t+%2B+.5%29+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "(2) $\"+4000+=+.85s%2A%28t+%2B+.5%29+\"$
\n" ); document.write( "(2) $\"+4000+=+.85s%2At+%2B+.425s+\"$
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) $\"+4000+=+.85%2A4000+%2B+.425s+\"$
\n" ); document.write( "(2) $\".425s+=+4000+-+.85%2A4000+\"$
\n" ); document.write( "(2) $\".425s+=+.15%2A4000+\"$
\n" ); document.write( "(2) $\".425s+=+600+\"$
\n" ); document.write( "(2) $\"+s+=+1411.765+\"$ mi/hr
\n" ); document.write( "check answer:
\n" ); document.write( "(1) $\"+4000+=+s%2At+\"$
\n" ); document.write( "(1) $\"+t+=+4000%2F1411.765+\"$
\n" ); document.write( "(1) $\"+t+=+2.833+\"$ hrs
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+4000+=+.85s%2A%28t+%2B+.5%29+\"$
\n" ); document.write( "(2) $\"+4000+=+.85%2A1411.765%2A%282.833+%2B+.5%29+\"$
\n" ); document.write( "(2) $\"+4000+=+1200.00025%2A3.333+\"$
\n" ); document.write( "(2) $\"+4000+=+3999.6+\"$
\n" ); document.write( "close enough\r
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