document.write( "Question 199445: Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle. Can you help me with this one? \n" ); document.write( "

Algebra.Com's Answer #149860 by edjones(8007) $\"\"$ $\"About$

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st=d
\n" ); document.write( "st=150
\n" ); document.write( "(s+20)(t-2)=150
\n" ); document.write( ".
\n" ); document.write( "t=150/s
\n" ); document.write( "(s+20)(150/s -2)=150
\n" ); document.write( "(s+20)((150-2s)/s)=150
\n" ); document.write( "(s+20)(150-2s)=150s
\n" ); document.write( "-(s+20)(2s-150)=150s
\n" ); document.write( "-(2s^2-110s-3000)=150s
\n" ); document.write( "-2s^2-40s+3000=0
\n" ); document.write( "s^2+20s-1500=0
\n" ); document.write( "(s+50)(s-30)=0
\n" ); document.write( "s=30
\n" ); document.write( ".
\n" ); document.write( "Ed \n" ); document.write( "

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