document.write( "Question 658752: 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 250 miles an hour, requiring 15 minutes longer on the return trip. how far from its base did it fly? \n" ); document.write( "

Algebra.Com's Answer #410463 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+t+\"$ = time for 1st trip
\n" ); document.write( "Let $\"+d+\"$ = distance from base
\n" ); document.write( "Equation for 1st trip
\n" ); document.write( "(1) $\"+d+=+300t+\"$
\n" ); document.write( "Equation for 2nd trip:
\n" ); document.write( "(2) $\"+d+=+250%2A%28+t+%2B+1%2F4+%29+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+300t+=+250%2A%28+t+%2B+1%2F4+%29+\"$
\n" ); document.write( "(2) $\"+300t+=+250t+%2B+250%2F4+\"$
\n" ); document.write( "(2) $\"+6t+=+5t+%2B+5%2F4+\"$
\n" ); document.write( "(2) $\"+t+=+5%2F4+\"$
\n" ); document.write( "-------------
\n" ); document.write( "(1) $\"+d+=+300%2A%285%2F4%29+\"$
\n" ); document.write( "(1) $\"+d+=+75%2A5+\"$
\n" ); document.write( "(1) $\"+d+=+375+\"$
\n" ); document.write( "It flew 375 mi from base
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+375+=+250%2A%28+t+%2B+1%2F4+%29+\"$
\n" ); document.write( "(2) $\"+3+=+2%2A%28+t+%2B+1%2F4+%29+\"$
\n" ); document.write( "(2) $\"+3+=+2t+%2B+1%2F2+\"$
\n" ); document.write( "(2) $\"+2t+=+5%2F2+\"$
\n" ); document.write( "(2) $\"+t+=+5%2F4+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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