document.write( "Question 165692: A train normally travels 60 miles at a certain speed. one day,due to bad weather, the train's speed is reduced by 10mph so that the journey takes 3 hours longer. find the normal speed? \n" ); document.write( "
Algebra.Com's Answer #122172 by checkley77(12844) ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "60=RT \n" ); document.write( "R=60/T \n" ); document.write( "60=(R-10)(T+3) \n" ); document.write( "60=(60/T-10)(T+3) \n" ); document.write( "60=60T/T+180/T-10T-30 \n" ); document.write( "60=60+180/T-10T-30 \n" ); document.write( "60-60+30=180/T-10T \n" ); document.write( "30=(180-10T^2)/T \n" ); document.write( "30T=180-10T^2 \n" ); document.write( "10T^2+30T-180=0 \n" ); document.write( "10(T^2+3T-18)=0 \n" ); document.write( "10(T+6)(T-3) \n" ); document.write( "T-3=0 \n" ); document.write( "T=3 \n" ); document.write( "R=60/3 \n" ); document.write( "R=20 MPH \n" ); document.write( "PROOF: \n" ); document.write( "60=(20-10)(3+3) \n" ); document.write( "60=10*6 \n" ); document.write( "60=60\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |