document.write( "Question 1029727: Chris 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 #644797 by MathTherapy(10555)\"\" \"About 
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\n" ); document.write( "Chris 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?
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Let his actual speed be S
\n" ); document.write( "Actual time taken: \"24%2FS\"
\n" ); document.write( "If he'd traveled 6 mph faster, his speed would've been: S + 6
\n" ); document.write( "Time that he would’ve taken, travelling at the faster speed: \"24%2F%28S+%2B+6%29\"
\n" ); document.write( "We then get the following TIME equation: \"24%2FS+=+24%2F%28S+%2B+6%29+%2B+9\"
\n" ); document.write( "24(S + 6) = 24S + 9S(S + 6) ------- Multiplying by LCD, S(S + 6)
\n" ); document.write( "\"24S+%2B+144+=+24S+%2B+9S%5E2+%2B+54S\"
\n" ); document.write( "\"24S+%2B+9S%5E2+%2B+54S+-+24S+-+144+=+0\"
\n" ); document.write( "\"9S%5E2+%2B+54S+-+144+=+0\"
\n" ); document.write( "\"9%28S%5E2+%2B+6S+-+16%29+=+9%280%29\" ----- Factoring out GCF, 9
\n" ); document.write( "\"S%5E2+%2B+6S+-+16+=+0\"
\n" ); document.write( "(S - 2)(S + 8) = 0
\n" ); document.write( "S, or actual speed = \"highlight_green%282%29\" mph \n" ); document.write( "
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