document.write( "Question 388835: On Monday, Roger drove to work in 2 hours. On Tuesday, he averaged 15 miles per hour more, and it took him 30 minutes less to get to work. How far (in miles) does he travel to work? \n" ); document.write( "

Algebra.Com's Answer #275255 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
On monday:
\n" ); document.write( " $\"d+=+r%2At\"$
\n" ); document.write( "(1) $\"d+=+r%2A2\"$
\n" ); document.write( "On Tuesday:
\n" ); document.write( " $\"d+=+%28r+%2B+15%29%2A%282+-+.5%29\"$
\n" ); document.write( "(2) $\"d+=+1.5%2A%28r+%2B+15%29\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( " $\"2r+=+1.5r+%2B+1.5%2A15\"$
\n" ); document.write( " $\".5r+=+22.5\"$
\n" ); document.write( " $\"r+=+45\"$
\n" ); document.write( "And, from (1),
\n" ); document.write( " $\"d+=+r%2A2\"$
\n" ); document.write( " $\"d+=+45%2A2\"$
\n" ); document.write( " $\"d+=+90\"$
\n" ); document.write( "He travels 90 mi to work \n" ); document.write( "

\n" );