document.write( "Question 1124065: a pilot flew a jet from point a to point b, a distance of 2500 mi. on the return trip, the average speed was 20% faster than the outbound speed. the round-trip took 9h and 10min. what was the speed from point a to point b? \n" ); document.write( "

Algebra.Com's Answer #740428 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+s+\"$ = the jet’s speed going from a to b
\n" ); document.write( " $\"+1.2s+\"$ = the jet’s speed going from b to a
\n" ); document.write( "Let $\"+t+\"$ = jet’s time going from a to b
\n" ); document.write( " $\"+9+%2B+1%2F6+-+t+\"$ = jet’s time from b to a
\n" ); document.write( "——————————-
\n" ); document.write( "Equation for a to b:
\n" ); document.write( "(1) $\"+2500+=+s%2At+\"$
\n" ); document.write( "Equation for b to a:
\n" ); document.write( "(2) $\"+2500+=+1.2s%2A%28+9+%2B+1%2F6+-+t+%29+\"$
\n" ); document.write( "——————————-
\n" ); document.write( "(1) $\"+t+=+2500%2Fs+\"$
\n" ); document.write( "Plug this result into (2)
\n" ); document.write( "(2) $\"+2500+=+1.2s%2A%28+9+%2B+1%2F6+-+2500%2Fs+%29+\"$
\n" ); document.write( "(2) $\"+2500+=+10.8s+%2B+.2s+-+3000+\"$
\n" ); document.write( "(2) $\"+11s+=+5500+\"$
\n" ); document.write( "(2) $\"+s+=+500+\"$
\n" ); document.write( "The speed from a to b was 500 mi/hr
\n" ); document.write( "———————-
\n" ); document.write( "Check:
\n" ); document.write( "(1) $\"+t+=+2500%2F500+\"$
\n" ); document.write( "(1) $\"+t+=+5+\"$ hrs
\n" ); document.write( "And
\n" ); document.write( "(2) $\"+2500+=+1.2s%2A%28+9+%2B+1%2F6+-+5+%29+\"$
\n" ); document.write( "(2) $\"+2500+=+1.2%2As%2A%28+4+%2B+1%2F6+%29+\"$
\n" ); document.write( "(2) $\"+2500+=+s%2A%28+4.8+%2B+.2+%29+\"$
\n" ); document.write( "(2) $\"+s+=+2500%2F5+\"$
\n" ); document.write( "(2) $\"+s+=+500+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );