document.write( "Question 214298: I am having trouble figuring out how to solve this problem and any help would be appreciated. This problem is not from a text book and is one that my professor create himself.\r
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document.write( "A speedy tortoise can run with a speed of 10 cm/sec and a hare can run 20 times as fast. If they both start at the same time, but the hare stops for 2 minutes to rest, the tortoise wins by 20cm.
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document.write( "1. How long does the race take?
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document.write( "2. What is the length of the race? \n" );
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Algebra.Com's Answer #161866 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A speedy tortoise can run with a speed of 10 cm/sec and a hare can run 20 times as fast. If they both start at the same time, but the hare stops for 2 minutes to rest, the tortoise wins by 20cm. \n" ); document.write( "1. How long does the race take? \n" ); document.write( "Tortoise DATA: \n" ); document.write( "rate = 10 cm/sec ; distance = x cm ; time = x/10 seconds \n" ); document.write( "--- \n" ); document.write( "Hare DATA: \n" ); document.write( "rate = 200 cm/sec ; distance = (x-20) cm ; time = (x-20)/200 sec \n" ); document.write( "--------------------------------------- \n" ); document.write( "Equation \n" ); document.write( "Hare time + 120 seconds = tortoise time \n" ); document.write( "(x-20)/200 + 120 = x/10 \n" ); document.write( "Multiply thru by 200 to get: \n" ); document.write( "x-20 + 200*120 = 20x \n" ); document.write( "19x = 200*120 -20 \n" ); document.write( "x = 1262.11 cm (length of the race) \n" ); document.write( "x/10 = 126.21 seconds (time of the race) \n" ); document.write( "---- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( "2. What is the length of the race? \n" ); document.write( " \n" ); document.write( " |