document.write( "Question 1059270: An airplane has enough fuel for a 5 hour flight. It goes 225 mile per hour with the wind on the way out and on the return trip goes 180 mph. How far can the plane fly? \n" ); document.write( "

Algebra.Com's Answer #674348 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ = the one-way distance of the trip in miles
\n" ); document.write( "Let $\"+t+\"$ = the plane's time in hrs
\n" ); document.write( "--------------------------------
\n" ); document.write( "Equation for flying with the wind
\n" ); document.write( "(1) $\"+d+=+225t+\"$
\n" ); document.write( "Equation for flying against the wind
\n" ); document.write( "(2) $\"+d+=+180%2A%28+5+-+t+%29+\"$
\n" ); document.write( "---------------------------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+225t+=+180%2A%28+5+-+t+%29+\"$
\n" ); document.write( " $\"+225t+=+900+-+180t+\"$
\n" ); document.write( " $\"+405t+=+900+\"$
\n" ); document.write( " $\"+t+=+20%2F9+\"$ hrs
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) $\"+d+=+225%2A%28+20%2F9%29+\"$
\n" ); document.write( "(1) $\"+d+=+500+\"$
\n" ); document.write( " $\"+2d+=+1000+\"$
\n" ); document.write( "The plane can fly 1000 miles
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d+=+180%2A%28+5+-+t+%29+\"$
\n" ); document.write( "(2) $\"+d+=+180%2A%28+5+-+20%2F9+%29+\"$
\n" ); document.write( "(2) $\"+d+=+180%2A%28+45%2F9+-+20%2F9+%29+\"$
\n" ); document.write( "(2) $\"+d+=+180%2A%28+25%2F9+%29+\"$
\n" ); document.write( "(2) $\"+d+=+500+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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