document.write( "Question 831323: Carlos drove to his cabin on the lake and back. The trip there took four hours and the trip back took 1.6 hours. He averaged 37.5 km/h faster on his return trip than on his outbound trip. Find carlos' average speed on the outbound trip. \n" ); document.write( "

Algebra.Com's Answer #501240 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+d+\"$ km = the one-way distance he travels
\n" ); document.write( "Let $\"+s+\"$ km/hr = his speed on the outbound trip
\n" ); document.write( " $\"+s+%2B+37.5+\"$ km/hr = his speed on the return trip
\n" ); document.write( "----------------------
\n" ); document.write( "Equation for outbound trip:
\n" ); document.write( "(1) $\"+d+=+s%2A4+\"$
\n" ); document.write( "Equation for return trip:
\n" ); document.write( "(2) $\"+d+=+%28+s%2B37.5+%29%2A1.6+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( " $\"+4s+=+1.6s+%2B+60+\"$
\n" ); document.write( " $\"+2.4s+=+60+\"$
\n" ); document.write( " $\"+s+=+25+\"$
\n" ); document.write( "The average speed for the outbound trip is 25 km/hr
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+d+=+25%2A4+\"$
\n" ); document.write( "(1) $\"+d+=+100+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+d+=+%28+s%2B37.5+%29%2A1.6+\"$
\n" ); document.write( "(2) $\"+d+=+%28+25+%2B+37.5+%29%2A1.6+\"$
\n" ); document.write( "(2) $\"+d+=+62.5%2A1.6+\"$
\n" ); document.write( "(2) $\"+d+=+100+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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