document.write( "Question 770114: an airplane flew in a direct line from its base at the rate of 300 miles an hour and returned over the same route at the rate of 250miles an hur requiring 15minutes longer in the return trip.how far from it base did it fly?
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Algebra.Com's Answer #469280 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+t+\"$ = time in hrs to fly from base
\n" ); document.write( " $\"+t+%2B+15%2F60+\"$ = time in hrs for return trip
\n" ); document.write( "Let $\"+d+\"$ = distance from base
\n" ); document.write( "---------------
\n" ); document.write( "(1) $\"+d+=+300t+\"$
\n" ); document.write( "(2) $\"+d+=+250%2A%28+t+%2B+.25+%29+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+300t+=+250%2A%28+t+%2B+.25+%29+\"$
\n" ); document.write( "(2) $\"+300t+=+250t+%2B+62.5+\"$
\n" ); document.write( "(2) $\"+50t+=+62.5+\"$
\n" ); document.write( "(2) $\"+t+=+1.25+\"$
\n" ); document.write( "--------------
\n" ); document.write( "(1) $\"+d+=+300t+\"$
\n" ); document.write( "(1) $\"+d+=+300%2A1.25+\"$
\n" ); document.write( "(1) $\"+d+=+375+\"$
\n" ); document.write( "It flew 375 mi from it's base
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d+=+250%2A%28+t+%2B+.25+%29+\"$
\n" ); document.write( "(2) $\"+375+=+250%2A%28+1.25+%2B+.25+%29+\"$
\n" ); document.write( "(2) $\"+375+=+250%2A1.5+\"$
\n" ); document.write( "(2) $\"+375+=+375+\"$
\n" ); document.write( "OK
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