document.write( "Question 1139721: Hudson travels 1,350 miles in a jet and then 300 miles by car to get to a business meeting. The jet goes 375 mph faster than the rate of the car, and the car ride takes 1 hour longer than the jet. What is the speed, in miles per hour, of the car? \n" ); document.write( "

Algebra.Com's Answer #760221 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let x be the speed of the car, in miles per hour.\r\n" );
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document.write( "Then the speed by the jet is  (x+375) mph, according to the condition.\r\n" );
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document.write( "The time spent by the car is   hours.\r\n" );
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document.write( "The time spent by the jet is   hours.\r\n" );
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document.write( "The difference is 1 hour, which gives you an equation\r\n" );
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document.write( "     -  = 1.\r\n" );
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document.write( "It is the \"time\" equation.\r\n" );
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document.write( "To slve it, multiply both sides by x*(x+375). You will get\r\n" );
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document.write( "    300*(x+375) - 1350x = x*(x+375),\r\n" );
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document.write( "Simplify and solve for x\r\n" );
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document.write( "     300x + 300*375 - 1350x = x^2 + 375x\r\n" );
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document.write( "     x^2 + 1425x - 1112500 = 0\r\n" );
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document.write( "      =  = .\r\n" );
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document.write( "Of the two roots, only positive root  x =  = 75 makes sense.\r\n" );
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document.write( "So, the car's rate is 75 mph;  the jet rate is  (75 + 375) = 450 mph.    ANSWER\r\n" );
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document.write( "CHECK.   -  = 4 - 3 = 1,  exactly in accordance with the condition.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "Using \"time\" equation is the STANDARD way to solve such problems.\r
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\n" ); document.write( "\n" ); document.write( "From this solution, 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
\n" ); document.write( "\n" ); document.write( "in this site.\r
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