document.write( "Question 775742: A car traveling at 56 mi/h overtakes a cyclist who, riding at 16 mi/h, has a 2-hour head start. How far from the starting point does the car overtake the cyclist \n" ); document.write( "
Algebra.Com's Answer #473150 by ankor@dixie-net.com(22740)\"\" \"About 
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A car traveling at 56 mi/h overtakes a cyclist who, riding at 16 mi/h, has a 2-hour head start.
\n" ); document.write( " How far from the starting point does the car overtake the cyclist.
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\n" ); document.write( "First find out how long it takes for the car to overtake the cycle
\n" ); document.write( "Let t = travel time of the car
\n" ); document.write( "then
\n" ); document.write( "(t + 2) = travel time of the cylce
\n" ); document.write( ":
\n" ); document.write( "When this occurs, they will both have traveled the same distance
\n" ); document.write( "Write a distance equation; dist = speed * time
\n" ); document.write( "56t = 16(t+2)
\n" ); document.write( "56t = 16t + 32
\n" ); document.write( "56t - 16t = 32
\n" ); document.write( "40t = 32
\n" ); document.write( "t = 32/40
\n" ); document.write( "t = .8 hrs for the car to overtake the cycle
\n" ); document.write( "find the distance
\n" ); document.write( "56 * .8 = 44.8 mi
\n" ); document.write( ":
\n" ); document.write( "Confirm the dist using the cycle
\n" ); document.write( "16 * 2.8 = 44.8 mi
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