document.write( "Question 306483: Car A travels 180 miles in the same time it takes Car B to travel 120 miles. If one car is going 20 mph faster than the other car, find both speeds. \n" ); document.write( "
Algebra.Com's Answer #219352 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! D=RT \n" ); document.write( "180=(R+20)T \n" ); document.write( "T=180/(R+20) \n" ); document.write( "120=RT \n" ); document.write( "T=120/R \n" ); document.write( "SET THE 2 T EQUATIONS EQUAL. \n" ); document.write( "180/(R+20)=120/R CROSS MULTIPLY. \n" ); document.write( "180R=120(R+20) \n" ); document.write( "180R=120R+2,400 \n" ); document.write( "180R-120R=2,400 \n" ); document.write( "60R=2,400 \n" ); document.write( "R=2,400/60 \n" ); document.write( "R=40 mph. for the slower car. \n" ); document.write( "40+20=60 mph. for the faster car. \n" ); document.write( "Proof: \n" ); document.write( "180/60=120/40 \n" ); document.write( "3=3 ans. for the travel time. \n" ); document.write( " \n" ); document.write( " |