document.write( "Question 144919: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
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Algebra.Com's Answer #105602 by checkley77(12844)\"\" \"About 
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D=RT
\n" ); document.write( "600=RT OR R=600/T
\n" ); document.write( "600=(R+20)(T-1) MULTIPLY THE 2 RIGHT TERMS.
\n" ); document.write( "600=RT+20T-R-20 REPLACE RT WITH 600 & R WITH 600/T
\n" ); document.write( "600=600+20T-600/T-20
\n" ); document.write( "0=20T-600/T-20
\n" ); document.write( "20T-600/T=20
\n" ); document.write( "(20T^2-600)/T=20
\n" ); document.write( "20T^2-600=20T
\n" ); document.write( "20T^2-20T-600=0
\n" ); document.write( "20(T^2-T-30)=0
\n" ); document.write( "20(T-6)(T+5)=0
\n" ); document.write( "T-6=0
\n" ); document.write( "T=6 HOURS FOR THE ORIGINAL TRIP.
\n" ); document.write( "600=R*6
\n" ); document.write( "600=6R
\n" ); document.write( "R=600/6
\n" ); document.write( "R=100 MPH.
\n" ); document.write( "PROOF:
\n" ); document.write( "600=(100+20)(6-1)
\n" ); document.write( "600=120*5
\n" ); document.write( "600=600
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