document.write( "Question 1148972: A tourist starts to walk up a mountain path that is 31 miles long at the rate of 4 miles per hour. After walking for a while, he gets tired and decides to get a taxi. The taxi gets him to the top traveling at a constant speed of 50 mph. If the tourist reaches the destination 2 hours after he started, what distance does he have to pay the cab driver for?
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Algebra.Com's Answer #770323 by ikleyn(52798) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " There is another way to solve the problem, using only one unknown.\r
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document.write( "Let x be distance traveled by the taxi, in miles.\r\n" );
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document.write( "Then the walking distance is  (31-x) miles.\r\n" );
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document.write( "The time spent by the taxi is    hours.\r\n" );
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document.write( "The time walking is    hours.\r\n" );
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document.write( "The time equation is\r\n" );
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document.write( "     +  = 2  hours.\r\n" );
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document.write( "To solve the equation, multiply both sides by 100.  You will get\r\n" );
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document.write( "    25*(31-x)   + 2x = 200\r\n" );
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document.write( "    25*31 - 25x + 2x = 200\r\n" );
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document.write( "    25*31 - 200      = 25x - 2x\r\n" );
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document.write( "    x           =  = 25 km.\r\n" );
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document.write( "ANSWER.  The distance to pay the cab driver for is  25 kilometers.\r\n" );
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document.write( "CHECK.    +  =  +  =  +  =  = 2 hours.   ! Precisely correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "No one of the two methods is better than the other.\r
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\n" ); document.write( "\n" ); document.write( "They both are good.\r
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\n" ); document.write( "\n" ); document.write( "Which one to use, depends on your preferences and methods you use in the class.\r
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\n" ); document.write( "\n" ); document.write( "But you will benefit, if you know BOTH methods.\r
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