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?
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Algebra.Com's Answer #817995 by ikleyn(52778) $\"\"$ $\"About$

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document.write( "Let t be the travel time of the car (in hours);\r\n" );
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document.write( "then the travel time of the cyclist is (t+2) hours.\r\n" );
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document.write( "The distance equation is\r\n" );
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document.write( "    45*t = 20*(t+2).\r\n" );
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document.write( "Simplify and find t\r\n" );
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document.write( "    45t = 20t + 40\r\n" );
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document.write( "    45t - 20t = 40\r\n" );
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document.write( "       25t    = 40\r\n" );
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document.write( "         t    =  =   hours = 1   hours = 1 hour and 36 minutes = 1.6 hours.\r\n" );
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document.write( "The distance from the start to the catching point is  45*1.6 = 72 miles.    ANSWER\r\n" );
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