document.write( "Question 670726: Two cars, each traveling at a constant rate, leave Boston headed for Philadelphia, 300 miles away. One car travels 10 miles per hour faster and arrives 1 hour earlier than the other car. Determine the rate of the faster car \n" ); document.write( "
Algebra.Com's Answer #417104 by checkley79(3341)![]() ![]() ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "300=XT \n" ); document.write( "T=300/X \n" ); document.write( "AND: \n" ); document.write( "300=(X+10)(T-1) \n" ); document.write( "300=(X+10)[(300/X)-1] \n" ); document.write( "300=300-X+3000/X-10 \n" ); document.write( "0=-X+3000/X-10 MULTIPLY BY -X. \n" ); document.write( "X^2-3000+10X=0 \n" ); document.write( "X^2+10X-3000=0 \n" ); document.write( "(X-50)(X+60)=0 \n" ); document.write( "X-50=0 \n" ); document.write( "X=50 MPH. ANS. \n" ); document.write( "300=50T \n" ); document.write( "T=300/50 \n" ); document.write( "T=6 HOURS ANS. \n" ); document.write( "300=(50+10)(6-1) \n" ); document.write( "300=60*5 60 MPH. FOR 5 HOURS FOR THE FASTER CAR. \n" ); document.write( "300=300 \n" ); document.write( " \n" ); document.write( " |