document.write( "Question 197729: Thelma's average driving speed is 3 miles per hour faster than Doug's. In the same length of time it takes Thelma to drive 200 miles, Doug only drives 188 miles. What is Thelma's average driving speed? \n" ); document.write( "
Algebra.Com's Answer #148406 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
I have an equation for each one
\n" ); document.write( "\"d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%5D\"
\n" ); document.write( "and
\n" ); document.write( "\"d%5Bd%5D+=+r%5Bd%5D%2At%5Bd%5D\"
\n" ); document.write( "---------------------
\n" ); document.write( "given:
\n" ); document.write( "\"r%5Bt%5D+=+r%5Bd%5D+%2B+3\" mi/hr
\n" ); document.write( "\"t%5Bt%5D+=+t%5Bd%5D\" (I'll call them both \"t\")
\n" ); document.write( "\"d%5Bt%5D+=+200\" mi
\n" ); document.write( "\"d%5Bd%5D+=+188\" mi
\n" ); document.write( "---------------------
\n" ); document.write( "What is Thelma's average driving speed?
\n" ); document.write( "\"d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%5D\"
\n" ); document.write( "\"200+=+r%5Bt%5D%2At\"
\n" ); document.write( "\"200+=+%28r%5Bd%5D+%2B+3%29%2At\"
\n" ); document.write( "and
\n" ); document.write( "\"d%5Bd%5D+=+r%5Bd%5D%2At%5Bd%5D\"
\n" ); document.write( "\"188+=+r%5Bd%5D%2At\"
\n" ); document.write( "\"r%5Bd%5D+=+188%2Ft\"
\n" ); document.write( "Substituting,
\n" ); document.write( "\"200+=+%28188%2Ft+%2B+3%29%2At\"
\n" ); document.write( "\"200+=+188+%2B+3t\"
\n" ); document.write( "\"3t+=+12\"
\n" ); document.write( "\"t+=+4\" hr
\n" ); document.write( "Substituting,
\n" ); document.write( "\"200+=+r%5Bt%5D%2At\"
\n" ); document.write( "\"r%5Bt%5D+=+200%2F4\"
\n" ); document.write( "\"r%5Bt%5D+=+50\"
\n" ); document.write( "Thelma's average driving speed was 50 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "\"r%5Bt%5D+=+r%5Bd%5D+%2B+3\" mi/hr
\n" ); document.write( "\"50+=+r%5Bd%5D+%2B+3\"
\n" ); document.write( "\"r%5Bd%5D+=+47\" mi/hr
\n" ); document.write( "\"d%5Bd%5D+=+r%5Bd%5D%2At%5Bd%5D\"
\n" ); document.write( "\"188+=+47%2A4\"
\n" ); document.write( "\"188+=+188\"
\n" ); document.write( "and
\n" ); document.write( "\"d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%5D\"
\n" ); document.write( "\"200+=+50%2A4\"
\n" ); document.write( "\"200+=+200\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );