document.write( "Question 1150319: Miguel went on a bike ride of 24 miles. He realized that if he had gone 6 mph faster, he would have arrived 9 hours sooner. How fast did he actually ride? \n" ); document.write( "

Algebra.Com's Answer #771721 by MathTherapy(10555) $\"\"$ $\"About$

You can put this solution on YOUR website!
Miguel went on a bike ride of 24 miles. He realized that if he had gone 6 mph faster, he would have arrived 9 hours sooner. How fast did he actually ride?
\n" ); document.write( "

This DOESN'T have to be as COMPLEX as the other person presents it to be.\r
\n" );
document.write( "\n" );
document.write( "This is the correct way to do the problem:
\n" );
document.write( "Let the ACTUAL speed be S
\n" );
document.write( "Then the HYPOTHETICAL speed = S + 6
\n" );
document.write( "The HYPOTHETICAL trip would've taken 9 hours less, so we get the following TIME equation:  
\n" );
document.write( " ------ Reducing equation by factoring out GCF, 3, in the numerator
\n" );
document.write( "8(S + 6) = 8S + 3S(S + 6) ------ Multiplying by LCD, S(S + 6)
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "(S - 2)(S + 8) = 0
\n" );
document.write( "S, or        OR       S = - 8 (ignore) \n" );
document.write( "

\n" );