document.write( "Question 1205745: Trashia left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 40 miles per hour. Half an hour later, Karissa left Riverside in her car on the same route as Trashia, driving 60 miles per hour. Solve the system:\r
\n" ); document.write( "\n" ); document.write( "{(40 y=60 x),(y=x+1/2) :}\r
\n" ); document.write( "\n" ); document.write( "A. for x to find out how long it will take Karissa to
\n" ); document.write( "catch up to Trashia.\r
\n" ); document.write( "\n" ); document.write( "B. What is the value of y the number of hours
\n" ); document.write( "Trashia will have driven before Karissa catches up
\n" ); document.write( "to her?
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Algebra.Com's Answer #842748 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "40y = 60x
\n" ); document.write( "y = x+1/2

\n" ); document.write( "When one of the two equations tells you precisely what one variable is in terms of the other, the obvious choice for a solution method is substitution. Replace \"y\" in the first equation with the equivalent expression \"x+1/2\".

\n" ); document.write( "40(x+1/2) = 60x
\n" ); document.write( "40x+20 = 60x
\n" ); document.write( "20 = 20x
\n" ); document.write( "x = 1

\n" ); document.write( "A. x is the number of hours Karissa drives. ANSWER: x = 1

\n" ); document.write( "B. y is the number of hours Trashia drives. ANSWER: y = x+1/2 = 1 1/2

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