document.write( "Question 555001: A plane makes the trip from Acton to Banville at 800 km/h. The return, at 1000 km/h, takes 1/2 hour less than the initial flight. Find the distance between the towns. \n" ); document.write( "

Algebra.Com's Answer #361603 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"t\"$ = time in hours for 1st flight
\n" ); document.write( "Let $\"d\"$ = distance between towns in km
\n" ); document.write( "Equation for A to B:
\n" ); document.write( " $\"+d+=+800t+\"$
\n" ); document.write( "Equation for B to A:
\n" ); document.write( " $\"+d+=+1000%2A%28+t+-+1.5+%29+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "Bt substitution:
\n" ); document.write( " $\"+800t+=+1000t+-+1500+\"$
\n" ); document.write( " $\"+200t+=+1500+\"$
\n" ); document.write( " $\"+t+=+7.5+\"$ hrs
\n" ); document.write( "and, since
\n" ); document.write( " $\"+d+=+800t+\"$
\n" ); document.write( " $\"+d+=+800%2A7.5+\"$
\n" ); document.write( " $\"+d+=+6000+\"$
\n" ); document.write( "The distance between the towns is 6,000 km
\n" ); document.write( "check:
\n" ); document.write( " $\"+d+=+1000%2A%28+t+-+1.5+%29+\"$
\n" ); document.write( " $\"+d+=+1000%2A%28+7.5+-+1.5+%29+\"$
\n" ); document.write( " $\"+d+=+1000%2A6+\"$
\n" ); document.write( " $\"+d+=+6000+\"$
\n" ); document.write( "OK\r
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