document.write( "Question 1054014: Please solve this following problem.\r
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document.write( "A tortoise that can walk three miles in two hours starts walking at 12:00. At 3:00, a hare that can walk fifteen miles in four hours sets out on the trail of the tortoise. At what time will the hare catch up to the tortoise and how far are they from their starting point when they meet?\r
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document.write( "Time =
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document.write( "distance= \n" );
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Algebra.Com's Answer #669231 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! What is the tortoise's head start in miles? \n" ); document.write( "Note that 12 to 3 PM is \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "------------------- \n" ); document.write( "Start a stop watch when the hare leaves. \n" ); document.write( "Let \n" ); document.write( "Let \n" ); document.write( "until it catches up with the tortoise. \n" ); document.write( "Stop the stop watch when hare catches up \n" ); document.write( "with tortoise \n" ); document.write( "------------------------------------------ \n" ); document.write( "The tortoise's equation: \n" ); document.write( "(1) \n" ); document.write( "The hare's equation: \n" ); document.write( "(2) \n" ); document.write( "----------------------- \n" ); document.write( "Substitute (2) into (1) \n" ); document.write( "(1) \n" ); document.write( "Multiply both sides by \n" ); document.write( "(1) \n" ); document.write( "(1) \n" ); document.write( "(1) \n" ); document.write( "The hare catches up with the tortoise \n" ); document.write( "at 3 PM plus 2 hrs = 5 PM \n" ); document.write( "----------------------------------- \n" ); document.write( "(2) \n" ); document.write( "(2) \n" ); document.write( "(2) \n" ); document.write( "They are 7.5 miles from their starting \n" ); document.write( "point when they meet \n" ); document.write( "----------------------------------- \n" ); document.write( "check answer: \n" ); document.write( "(1) \n" ); document.write( "(1) \n" ); document.write( "(1) \n" ); document.write( "OK \n" ); document.write( " |