document.write( "Question 1136630: Ahmed can run a steady pace of 5m/s and Abdullah can only run at 4 m/s. Ahmed allows Abdullah a 15m headstart in a 100m race. How far from the starting line will Ahmed overtake Abdullah? \n" ); document.write( "
Algebra.Com's Answer #754415 by ikleyn(52788)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let \" d \" be the distance under the question.\r\n" );
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document.write( "Then you have this \"time\" equation\r\n" );
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document.write( "    \"d%2F5\" = \"%28d-15%29%2F4\"    seconds,\r\n" );
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document.write( "saying that Ahmed and Abdullah spent equal amount of time from the start to the catching (overtaking) moment.\r\n" );
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document.write( "To solve the equation, multiply both sides by 20. You will get\r\n" );
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document.write( "    4d = 5*(d-15)\r\n" );
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document.write( "    4d = 5d - 75\r\n" );
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document.write( "    75 = 5d - 4d\r\n" );
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document.write( "    d = 75.\r\n" );
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document.write( "ANSWER.  75 meters from the starting line.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Using \"time\" equation is the STANDARD way to solve such problems.\r
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\n" ); document.write( "\n" ); document.write( "From this solution,  learn on how to write,  how to use and how to solve a  \"time\"  equation.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems,  look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Had a car move faster it would arrive sooner\r
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