document.write( "Question 640952: Jim Williamson began a 96-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 6 hours. If Jim walks at a rate of 4 miles per hour and rides at 20 miles per hour, find the amount of time he spent on the bicycle. \n" ); document.write( "

Algebra.Com's Answer #403490 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+t+\"$ = the time in hours he spent walking
\n" ); document.write( " $\"+6+-+t+\"$ = time in hours he spent on bike
\n" ); document.write( "Let $\"+d+\"$ = distance Jim walked in miles
\n" ); document.write( " $\"+96+-+d+\"$ = distance in miles he biked
\n" ); document.write( "Equation for walking:
\n" ); document.write( "(1) $\"+d+=+4t+\"$
\n" ); document.write( "Equation for biking:
\n" ); document.write( "(2) $\"+96+-+d+=+20%2A%28+6-t+%29+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+96+-+4t+=+120+-+20t+\"$
\n" ); document.write( "(2) $\"+20t+-+4t+=+120+-+96+\"$
\n" ); document.write( "(2) $\"+16t+=+24+\"$
\n" ); document.write( "(2) $\"+t+=+3%2F2+\"$
\n" ); document.write( " $\"+6+-+t+=+6+-+3%2F2+\"$
\n" ); document.write( " $\"+6+-+t+=+9%2F2+\"$
\n" ); document.write( "Jim's time spent on bike is 4 and a half hours
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+d+=+4%2A%283%2F2%29+\"$
\n" ); document.write( "(1) $\"+d+=+6+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+96+-+d+=+20%2A%28+6-%283%2F2%29+%29+\"$
\n" ); document.write( "(2) $\"+-d+=+20%2A%289%2F2%29+-+96+\"$
\n" ); document.write( "(2) $\"+-d+=+90+-+96+\"$
\n" ); document.write( "(2) $\"+-d+=+-6+\"$
\n" ); document.write( "(2) $\"+d+=+6+\"$
\n" ); document.write( "OK \n" ); document.write( "

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