document.write( "Question 520014: Kevin's plane flew in a direct line from its base at 480 kph and returned over the same route at a rate of 400 kph, requiring 15 minutes longer on the return trip. How far did it fly from its base? \n" ); document.write( "

Algebra.Com's Answer #345907 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d+\"$ = distance from base
\n" ); document.write( "Let $\"+t+\"$ = time of flight from base
\n" ); document.write( "given:
\n" ); document.write( " $\"+v%5B1%5D+=+480+\"$ km/hr
\n" ); document.write( " $\"+v%5B2%5D+=+400+\"$ km/hr
\n" ); document.write( " $\"+t%5B2%5D+=+t+%2B+.25+\"$ hrs
\n" ); document.write( "-------------------------
\n" ); document.write( "Flying away from base:
\n" ); document.write( "(1) $\"+d+=+480t+\"$
\n" ); document.write( "Flying back to base:
\n" ); document.write( "(2) $\"+d+=+400%2A%28+t+%2B+.25+%29+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) $\"+d+=+400t+%2B+100+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+480t+=+400t+%2B+100+\"$
\n" ); document.write( "(2) $\"+80t+=+100+\"$
\n" ); document.write( "(2) $\"+t+=+1.25+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+d+=+480t+\"$
\n" ); document.write( "(1) $\"+d+=+480%2A1.25+\"$
\n" ); document.write( "(1) $\"+d+=+600+\"$
\n" ); document.write( "It flew 600 km from its base\r
\n" ); document.write( "
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