document.write( "Question 733167: A race consists of a 20-mile bike ride and a 12-mile run. Jen’s rate while
\n" ); document.write( "biking is 4 mi/h faster than while running. She completes the race in 4 hours.
\n" ); document.write( " a. Let r be Jen’s rate while biking.
\n" ); document.write( "Copy and complete the table.
\n" ); document.write( " b. Use the information in the Time
\n" ); document.write( "column to write a rational equation.
\n" ); document.write( " c. Solve the equation to find Jen’s rate
\n" ); document.write( "while biking.
\n" ); document.write( "

Algebra.Com's Answer #448294 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
rates:
\n" ); document.write( "biking: \"+r+\" mi/hr
\n" ); document.write( "running: \"+r+-+4+\" mi/hr
\n" ); document.write( "-------------
\n" ); document.write( "distances:
\n" ); document.write( "biking: \"+20+\" mi
\n" ); document.write( "running: \"+12+\" mi
\n" ); document.write( "-------------
\n" ); document.write( "times:
\n" ); document.write( "biking: \"+20%2Fr+\" hrs
\n" ); document.write( "running: \"+12%2F%28+r+-+4+%29+\"
\n" ); document.write( "--------------
\n" ); document.write( "\"+20%2Fr+%2B+12%2F%28r+-+4%29+=+4+\"
\n" ); document.write( "Multiply both sides by \"+r%2A%28+r+-+4+%29+\"
\n" ); document.write( "\"+20%2A%28+r+-+4+%29+%2B+12r+=+4r%2A%28+r+-+4+%29+\"
\n" ); document.write( "\"+20r+-+80+%2B+12r+=+4r%5E2+-+16r+\"
\n" ); document.write( "\"+4r%5E2+-+20r+-+16r+-+12r+%2B+80+=+0+\"
\n" ); document.write( "\"+4r%5E2+-+48r+%2B+80+=+0+\"
\n" ); document.write( "\"+r%5E2+-+12r+%2B+20+=+0+\"
\n" ); document.write( "\"+%28+r+-+2+%29%2A%28+r+-+10+%29+=+0+\"
\n" ); document.write( "The 2 answers are:
\n" ); document.write( "\"+r+=+2+\"
\n" ); document.write( "\"+r+=+10+\"
\n" ); document.write( "\"+r+\" can't be \"+2+\" since I have to subtract \"+4+\" from it
\n" ); document.write( "to get the running speed, so
\n" ); document.write( "Jen's rate while biking is 10 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "\"+20%2A%28+r+-+4+%29+%2B+12r+=+4r%2A%28+r+-+4+%29+\"
\n" ); document.write( "\"+20%2A%28+10+-+4+%29+%2B+12%2A10+=+4%2A10%2A%28+10+-+4+%29+\"
\n" ); document.write( "\"+20%2A6+%2B+120+=+40%2A6+\"
\n" ); document.write( "\"+240+=+240+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );