document.write( "Question 214179: In a walkathon to raise money for a charity, Elisa walked a certin distance at 5mi/h and then jogged twice that distance at 8mi/h. Her total time walking and jogging was 2 h and 15 min. How many miles long was the walkathon? ( hint: time equals distance over rate.) \n" ); document.write( "
Algebra.Com's Answer #161783 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
I would write 2 equations, 1 for
\n" ); document.write( "jogging and 1 for walking
\n" ); document.write( "\"d%5Bj%5D+=+r%5Bj%5D%2At%5Bj%5D\"
\n" ); document.write( "\"d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D\"
\n" ); document.write( "----------------------
\n" ); document.write( "given:
\n" ); document.write( "\"r%5Bj%5D+=+8\" mi/hr
\n" ); document.write( "\"r%5Bw%5D+=+5\" mi/hr
\n" ); document.write( "\"d%5Bj%5D+=+2d%5Bw%5D\"
\n" ); document.write( "\"t%5Bj%5D+%2B+t%5Bw%5D+=+2.25\" hrs
\n" ); document.write( "------------------------
\n" ); document.write( "Now rewrite the equations
\n" ); document.write( "\"d%5Bj%5D+=+r%5Bj%5D%2At%5Bj%5D\"
\n" ); document.write( "\"2d%5Bw%5D+=+8%2A%282.25+-+t%5Bw%5D%29\"
\n" ); document.write( "\"2d%5Bw%5D+=+18+-+8t%5Bw%5D\"
\n" ); document.write( "\"d%5Bw%5D+%2B+4t%5Bw%5D+=+9\"
\n" ); document.write( "and
\n" ); document.write( "\"d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D\"
\n" ); document.write( "\"d%5Bw%5D+=+5t%5Bw%5D\"
\n" ); document.write( "Substituting:
\n" ); document.write( "\"5t%5Bw%5D+%2B+4t%5Bw%5D+=+9\"
\n" ); document.write( "\"9t%5Bw%5D+=+9\"
\n" ); document.write( "\"t%5Bw%5D+=+1\" hr
\n" ); document.write( "And, since
\n" ); document.write( "\"d%5Bw%5D+=+5t%5Bw%5D\"
\n" ); document.write( "\"d%5Bw%5D+=+5\" mi
\n" ); document.write( "And, since
\n" ); document.write( "\"d%5Bj%5D+=+2d%5Bw%5D\"
\n" ); document.write( "\"d%5Bj%5D+=+2%2A5\"
\n" ); document.write( "\"d%5Bj%5D+=+10\" mi
\n" ); document.write( "The walkathon was \"5+%2B+10+=+15\" mi
\n" ); document.write( "check:
\n" ); document.write( "\"d%5Bj%5D+=+r%5Bj%5D%2At%5Bj%5D\"
\n" ); document.write( "\"10+=+8%2At%5Bj%5D\"
\n" ); document.write( "\"t%5Bj%5D+=+1.25\" hr
\n" ); document.write( "and
\n" ); document.write( "\"d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D\"
\n" ); document.write( "\"5+=+5%2At%5Bw%5D\"
\n" ); document.write( "\"t%5Bw%5D+=+1\" hr
\n" ); document.write( "\"t%5Bj%5D+%2B+t%5Bw%5D+=+2.25\"
\n" ); document.write( "OK\r
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