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)\"\" \"About 
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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.
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