document.write( "Question 1046371: A passenger train made a trip to las vegas and back. The trip there took 17 hours and the trip back took ten hours. It averaged 21 mph faster on the return trip than on the outbound trip. Find the passenger train's average speed on the outbound trip. \n" ); document.write( "
Algebra.Com's Answer #661845 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = the average speed on the outbound trip in mi/hr
\n" ); document.write( "\"+s+%2B+21+\" = the average speed on the return trip in mi/hr
\n" ); document.write( "Let \"+d+\" = the one way distance to Las Vegas in miles
\n" ); document.write( "-------------------
\n" ); document.write( "Equation for outbound trip:
\n" ); document.write( "(1) \"+d+=+s%2A17+\"
\n" ); document.write( "Equation for return trip:
\n" ); document.write( "(2) \"+d+=+%28+s+%2B+21+%29%2A10+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+17s+=+%28+s+%2B+21+%29%2A10+\"
\n" ); document.write( "(2) \"+17s+=+10s+%2B+210+\"
\n" ); document.write( "(2) \"+7s+=+210+\"
\n" ); document.write( "(2) \"+s+=+30+\"
\n" ); document.write( "The speed on the outbound trip is 30 mi/hr
\n" ); document.write( "--------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+s%2A17+\"
\n" ); document.write( "(1) \"+d+=+30%2A17+\"
\n" ); document.write( "(1) \"+d+=+510+\" mi
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+%28+s+%2B+21+%29%2A10+\"
\n" ); document.write( "(2) \"+d+=+%28+30+%2B+21+%29%2A10+\"
\n" ); document.write( "(2) \"+d+=+51%2A10+\"
\n" ); document.write( "(2) \"+d+=+510+\" mi
\n" ); document.write( "
\n" ); document.write( "
\n" );