document.write( "Question 1076121: Reed and his brother Ryan can put 9 miles between them in 20 minutes when starting from the same point and sprinting at top speed in opposite directions. It takes the same time for Reed to draw a mile ahead of Ryan when they're running in the same direction (again starting from the same point). what is each one's top speed? \n" ); document.write( "

Algebra.Com's Answer #690801 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "Let \"u\" and \"v\" be the Reed's and the Ryan's rates in miles per hour.\r\n" );
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document.write( "Then \r\n" );
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document.write( "u + v = 27   (1)   (27 mph =  three times 9 miles per hour.\r\n" );
document.write( "                        \"Reed and Ryan can put 9 miles between them in 20 minutes when starting \r\n" );
document.write( "                         from the same point and sprinting at top speed in opposite directions\")\r\n" );
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document.write( "u - v = 3    (2)   (3 mph = three times 1 mile per hour,\r\n" );
document.write( "                        \"It takes the same time for Reed to draw a mile ahead of Ryan when they're running in the same direction\")\r\n" );
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document.write( "Add (1) and (2) to get u =  = 15 mph.\r\n" );
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document.write( "Then v = 27 - 15 = 12 mph.\r\n" );
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document.write( "Answer.  Reed' speed is 15 mph. Ryan' speed is 12 mph.\r\n" );
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