document.write( "Question 263584: Meg traveled 7 miles yesterday walking for one half-hour and biking for one half-hour. Today traveling at the same rates she traveled a total of 6 miles by walking for 40 mintues and biking for 20 mintues. What was her walking and biking rates? The answer is walking 4mph and biking 10mph. Please help me set up the equations. \n" ); document.write( "
Algebra.Com's Answer #194255 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"w\" = her rate walking in mi/hr
\n" ); document.write( "Let \"b\" = her rate biking in mi/hr
\n" ); document.write( "For yesterday's trip:
\n" ); document.write( "(1) \"%281%2F2%29%2Aw+%2B+%281%2F2%29%2Ab+=+7\"
\n" ); document.write( "Today's trip:
\n" ); document.write( "(2) \"%282%2F3%29%2Aw+%2B+%281%2F3%29%2Ab+=+6\"
\n" ); document.write( "Multiply both sides of (1) by \"2\"
\n" ); document.write( "(1) \"w+%2B+b+=+14\"
\n" ); document.write( "Multiply both sides of (2) by \"3\"
\n" ); document.write( "(2) \"2w+%2B+b+=+18\"
\n" ); document.write( "From (1),
\n" ); document.write( "\"b+=+14+-+w\"
\n" ); document.write( "Substitute this in (2)
\n" ); document.write( "(2) \"2w+%2B+14+-+w+=+18\"
\n" ); document.write( "(2) \"w+=+4\"
\n" ); document.write( "And, from (1),
\n" ); document.write( "\"w+%2B+b+=+14\"
\n" ); document.write( "\"4+%2B+b+=+14\"
\n" ); document.write( "\"b+=+10\"
\n" ); document.write( "She walks 4 mi/hr and bikes 10 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "For yesterday's trip:
\n" ); document.write( "(1) \"%281%2F2%29%2Aw+%2B+%281%2F2%29%2Ab+=+7\"
\n" ); document.write( "\"%281%2F2%29%2A4+%2B+%281%2F2%29%2A10+=+7\"
\n" ); document.write( "\"2+%2B+5+=+7\"
\n" ); document.write( "\"7+=+7\"
\n" ); document.write( "Today's trip:
\n" ); document.write( "(2) \"%282%2F3%29%2Aw+%2B+%281%2F3%29%2Ab+=+6\"
\n" ); document.write( "\"%282%2F3%29%2A4+%2B+%281%2F3%29%2A10+=+6\"
\n" ); document.write( "\"8%2F3+%2B+10%2F3+=+6\"
\n" ); document.write( "\"18%2F3+=+6\"
\n" ); document.write( "\"18+=+18\"
\n" ); document.write( "OK\r
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