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) ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( " |