document.write( "Question 1206542: Austin made the hike to Mt. St. Helen's in 4 hours, and Snelling made the same hike in 5 hours. How far was the hike if Austin hiked 1 mph faster than Snelling? \n" ); document.write( "
Algebra.Com's Answer #844096 by ikleyn(52908)\"\" \"About 
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\n" ); document.write( "Austin made the hike to Mt. St. Helen's in 4 hours, and Snelling made the same hike in 5 hours.
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document.write( "Let d be the one way distance, in miles.\r\n" );
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document.write( "Then the rate by Austin   was  \"d%2F4\"  miles per hour,\r\n" );
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document.write( "     the rate by Snelling was  \"d%2F5\"  miles per hours.\r\n" );
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document.write( "We are given that Austin traveled 1 mph faster than Snelling,\r\n" );
document.write( "so we can write this equation\r\n" );
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document.write( "    \"d%2F4\" - \"d%2F5\" = 1  mph.\r\n" );
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document.write( "At this point, the setup is complete.\r\n" );
document.write( "To solve this equation, multiply both sides by 4*5 = 20, which is the common denominator.\r\n" );
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document.write( "You will get then\r\n" );
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document.write( "    5d - 4d = 20,\r\n" );
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document.write( "       d    = 20.\r\n" );
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document.write( "So, one way distance is 20 miles.    ANSWER\r\n" );
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