document.write( "Question 586589: A motorcycle traveling at 60mph overtakes a car traveling at 30mph that had a three-hour head start. How far from the starting point are the two vehicles?
\n" ); document.write( "How do I put this into an algebraic equation and solve it? Thanks \n" ); document.write( "
Algebra.Com's Answer #373815 by ankor@dixie-net.com(22740)\"\" \"About 
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A motorcycle traveling at 60mph overtakes a car traveling at 30mph that had a three-hour head start.
\n" ); document.write( " How far from the starting point are the two vehicles?
\n" ); document.write( "How do I put this into an algebraic equation and solve it?
\n" ); document.write( ":\r
\n" ); document.write( "\n" ); document.write( "Let t = travel time of motorcycle
\n" ); document.write( "then
\n" ); document.write( "(t+3) = travel time of the car
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation, dist = speed * time
\n" ); document.write( "60t = 30(t+3)
\n" ); document.write( "60t = 30t + 90
\n" ); document.write( "60t - 30t = 90
\n" ); document.write( "t = 90/30
\n" ); document.write( "t = 3 hrs for the motorcycle to overtake the car
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\n" ); document.write( "Find this dist: 3 * 60 = 180 mi
\n" ); document.write( "Check the dist: 6 * 30 = 180 mi
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