document.write( "Question 1187050: A car traveling at 45 mph overtakes a cyclist who, riding at 20 mph, had a 2-hour head start. How far from the starting point does the car overtake the cyclist?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #818173 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "A car traveling at 45 mph overtakes a cyclist who, riding at 20 mph, had a 2-hour head start. How far from the starting point does the car overtake the cyclist?
\n" ); document.write( "
Let distance from starting point be D\r\n" );
document.write( "Then time taken for the car and bike to get to the meeting point = \"matrix%281%2C3%2C+D%2F45%2C+and%2C+D%2F20%29\", respectively\r\n" );
document.write( "With the car taking 2 hours less to get to meeting point, we get the following TIME equation: \"matrix%281%2C3%2C+D%2F45%2C+%22=%22%2C+D%2F20+-+2%29\"\r\n" );
document.write( "     4D = 9D - 360 ------ Multiplying by LCD, 180\r\n" );
document.write( "4D - 9D = - 360\r\n" );
document.write( "   - 5D = - 360\r\n" );
document.write( "Distance from the starting point, where the bike was overtaken, or 
\n" ); document.write( "
\n" );