document.write( "Question 1151925: A car traveling at 48 mph overtakes a cyclist who, riding at 12 mph, had a 3-hour head start. How far from the starting point does the car overtake the cyclist? \n" ); document.write( "

Algebra.Com's Answer #773797 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "Let d be the distance under the question.\r\n" );
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document.write( "The time spent by the car to overtake the cyclist is   hours, starting from the car' start.\r\n" );
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document.write( "The time spent by the cyclist is    hours.\r\n" );
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document.write( "Both times are the same\r\n" );
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document.write( "     = \r\n" );
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document.write( "    d = 4*(d-36)\r\n" );
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document.write( "    d = 4d - 144\r\n" );
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document.write( "    144 = 4d - d\r\n" );
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document.write( "    144 = 3d\r\n" );
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document.write( "    d   = 144/3 = 48 miles.    ANSWER\r\n" );
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