document.write( "Question 1105547: Points A and B are 200 mi apart. A cyclist started from point A and a motorcyclist started from point B, moving towards each other.The speed of the cyclist was 17 mph, the speed of motorcyclist was 83 mph. At what distance from point A will they meet? \n" ); document.write( "

Algebra.Com's Answer #720400 by ikleyn(52909) $\"\"$ $\"About$

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\n" ); document.write( "1 - One-line solution, Physics style\r
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document.write( "    The distance under the question is  = 17*2 = 34 miles.\r\n" );
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\n" ); document.write( "\n" ); document.write( "2 - One-line solution, Physics style with more explanations\r
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document.write( "    The distance under the question is  = 17*2 = 34 miles.\r\n" );
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document.write( "    17+83 = 100 mph in the denominator is the relative speed of the participants, i.e. the rate of decreasing the distance between them.\r\n" );
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document.write( "     =  = 2 hours is the time before they meet.\r\n" );
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document.write( "    Thus   is \"at what distance from point A will they meet\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "3 - Algebra style solution using equation\r
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document.write( "    The equation is\r\n" );
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document.write( "    17*t + 83*t = 200,\r\n" );
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document.write( "    which says that the sum of the distances each participant covers before they meet is equal to the total initial distance of 200 miles.\r\n" );
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document.write( "    From the equation,\r\n" );
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document.write( "    t = \r\n" );
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document.write( "    is the time to get the meeting point.\r\n" );
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document.write( "    Hence,    is the distance from the point A which the cyclist will cover when they meet each other, \r\n" );
document.write( "exactly as it was explained in Solutions 1 and 2.\r\n" );
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\n" ); document.write( "For the introductory lessons on Travel and Distance see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in opposite directions \r
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