document.write( "Question 857337: A bus traveled on a level road for 5 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 3 hours. Find the average speed on the level road if the entire trip was 452 miles. \n" ); document.write( "
Algebra.Com's Answer #516522 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = the bus's speed on the winding road
\n" ); document.write( "\"+s+%2B+20+\" = the bus's speed on the level road
\n" ); document.write( "Let \"+d+\" = distance traveled on the winding road
\n" ); document.write( "\"+452+-+d+\" = distance traveled on the level road
\n" ); document.write( "------------------------------------------
\n" ); document.write( "Equation for level road:
\n" ); document.write( "(1) \"+452+-+d+=+%28+s+%2B+20+%29%2A5+\"
\n" ); document.write( "Equation for winding road:
\n" ); document.write( "(2) \"+d+=+s%2A3+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) \"+452+-+3s+=+%28+s+%2B+20+%29%2A5+\"
\n" ); document.write( "(1) \"+452+-+3s+=+5s+%2B+100+\"
\n" ); document.write( "(1) \"+8s+=+352+\"
\n" ); document.write( "(1) \"+s+=+44+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+s%2A3+\"
\n" ); document.write( "(2) \"+d+=+44%2A3+\"
\n" ); document.write( "(2) \"+d+=+132+\"
\n" ); document.write( "----------------
\n" ); document.write( "(1) \"+452+-+d+=+%28+s+%2B+20+%29%2A5+\"
\n" ); document.write( "The average speed for the level road is:
\n" ); document.write( "\"+s+%2B+20+=+44+%2B+20+\"
\n" ); document.write( "\"+s+%2B+20+=+64+\" mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+452+-+d+=+%28+s+%2B+20+%29%2A5+\"
\n" ); document.write( "(1) \"+452+-+132+=+%28+44+%2B+20+%29%2A5+\"
\n" ); document.write( "(1) \"+320+=+64%2A5+\"
\n" ); document.write( "(1) \"+320+=+320+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+s%2A3+\"
\n" ); document.write( "(2) \"+132+=+44%2A3+\"
\n" ); document.write( "(2) \"+132+=+132+\"
\n" ); document.write( "OK
\n" ); document.write( "
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