document.write( "Question 1150378: Chelsea went on a 102 mile trip to a soccer game. On the way back, due to road construction she had to drive 17 miles per hour slower. This made the trip 1 hour longer. How fast did she drive to the soccer game? \n" ); document.write( "

Algebra.Com's Answer #771769 by ikleyn(52778) $\"\"$ $\"About$

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document.write( "Let \"x\" be the rate on the way to the game.\r\n" );
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document.write( "Then you have this \"time\" equation\r\n" );
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document.write( "     -  = 1 \r\n" );
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document.write( "saying that the difference in times going and back is 1 hour.\r\n" );
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document.write( "Multiply both sides by x*(x-17).\r\n" );
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document.write( "    102x - 102*(x-17) = x*(x-17\r\n" );
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document.write( "    102*17 = x^2 - 17x\r\n" );
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document.write( "     x^2 - 17x - 1734 = 0\r\n" );
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document.write( "     =  = .\r\n" );
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document.write( "Only positive root makes sense  x =  = 51.\r\n" );
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document.write( "ANSWER.  The rate on the way to the soccer game was  51 mph.\r\n" );
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document.write( "CHECK.    +  =  -  = 3 - 2 = 1 hour.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Using \"time\" equation is the STANDARD method of solving such problems.\r
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\n" ); document.write( "\n" ); document.write( "It is simple, logical, straightforward, economic and robust (work in standard way for any input data). \r
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\n" ); document.write( "\n" ); document.write( "Going in this way, you will never make a mistake - the logic of the method
\n" ); document.write( "prevents you of making mistakes.\r
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\n" ); document.write( "\n" ); document.write( "From this lesson, learn on how to write, how to use and how to solve a \"time\" equation.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Had a car move faster it would arrive sooner\r
\n" ); document.write( "\n" ); document.write( "    - How far do you live from school? \r
\n" ); document.write( "\n" ); document.write( "    - Earthquake waves \r
\n" ); document.write( "\n" ); document.write( "    - Time equation: HOW TO use, HOW TO write and HOW TO solve it \r
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