document.write( "Question 297242: If i ride my bike 8 miles and then walk 4 miles it takes me 3hrs. If i walk 1/4 the rate that i ride, how fast did i ride my bike? \n" ); document.write( "

Algebra.Com's Answer #214073 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"b\"$ = your speed riding your bike
\n" ); document.write( "Then, your speed walking is $\"%281%2F4%29%2Ab\"$
\n" ); document.write( "In words:
\n" ); document.write( "(time spent walking and biking) = (distance biking/biking speed) + (distance walking/walking speed)
\n" ); document.write( " $\"3+=+8%2Fb+%2B+4%2F%28%281%2F4%29%2Ab%29\"$
\n" ); document.write( "Multiply both sides by $\"%281%2F4%29%2Ab\"$
\n" ); document.write( " $\"%283%2F4%29%2Ab+=+2+%2B+4\"$
\n" ); document.write( " $\"3b+=+4%2A6\"$
\n" ); document.write( " $\"b+=+8\"$
\n" ); document.write( "The speed biking is 8 mi/hr
\n" ); document.write( "check:
\n" ); document.write( " $\"3+=+8%2Fb+%2B+4%2F%28%281%2F4%29%2Ab%29\"$
\n" ); document.write( " $\"3+=+8%2F8+%2B+4%2F%28%281%2F4%29%2A8%29\"$
\n" ); document.write( " $\"3+=+1+%2B+4%2F2\"$
\n" ); document.write( " $\"3+=+3\"$
\n" ); document.write( "OK \n" ); document.write( "

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