document.write( "Question 791157: Can someone help me solve this?
\n" ); document.write( "Type of Problem: Applications of Linear Systems\r
\n" ); document.write( "\n" ); document.write( "Solve the problem by using a system of equations.
\n" ); document.write( "A Porsche and a VW Bug that were 450 miles apart traveled toward each other. They met after 5 hours. If one car can travel twice as fast as the other car, what were their speeds?
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Algebra.Com's Answer #479430 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Slow speed, r
\n" ); document.write( "Fast speed, 2r\r
\n" ); document.write( "\n" ); document.write( "r*t=d\r
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\n" ); document.write( "\n" ); document.write( "Total time was 5 hours, so t=d/r and the other time would be d/(2r).
\n" ); document.write( "?\r
\n" ); document.write( "\n" ); document.write( "The amount of time, x, is the same for both cars.\r
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\n" ); document.write( "\n" ); document.write( "CAR1___________r____________x__________rx
\n" ); document.write( "CAR2___________2r___________x__________2rx
\n" ); document.write( "Total______________________ 5__________450\r
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\n" ); document.write( "\n" ); document.write( "------------------------------------------
\n" ); document.write( "SYSTEM OF EQUATIONS:
\n" ); document.write( "\"x%2Bx=5\" and \"rx%2B2rx=450\"
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\n" ); document.write( "\n" ); document.write( "\"2x=5\" and \"rx%2B2rx=450\"
\n" ); document.write( "\"x=5%2F2\" and \"x%28r%2B2r%29=450\"
\n" ); document.write( "Substitution for x gives \"%285%2F2%29%283r%29=450\"
\n" ); document.write( "\"15r%2F2=450\"
\n" ); document.write( "\"r=450%282%2F15%29\"
\n" ); document.write( "\"highlight%28r=60%29\" for the slow car
\n" ); document.write( "Fast car is \"highlight%28120%29\" mph
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