document.write( "Question 1071115: Bob made a trip of 282 miles.He averaged 63 mph for the first part and 52 mph for the second part.If the trip took 5 hours, how long did he travel at each rate? \n" ); document.write( "

Algebra.Com's Answer #686044 by ikleyn(52873) $\"\"$ $\"About$

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\n" ); document.write( "Bob made a trip of 282 miles.He averaged 63 mph for the first part and 52 mph for the second part.
\n" ); document.write( "If the trip took 5 hours, how long did he travel at each rate?
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\n" ); document.write( "\n" ); document.write( "Solution 1 (Two equations)\r
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document.write( "Let x be the time traveled at average speed of 63 mph, \r\n" );
document.write( "and y be the time traveled at 52 mph.\r\n" );
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document.write( "Then you have these two equations for the two unknowns\r\n" );
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document.write( "  x +   y =   5,         (1)     (\"the trip took 5 hours\")\r\n" );
document.write( "63x + 52y = 282.         (2)     (the entire traveled distance).\r\n" );
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document.write( "Set up is completed. The rest is on you.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solution 2 (One equation)\r
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document.write( "Let x be the time traveled at average speed of 63 mph, in hours. \r\n" );
document.write( "Then the time traveled at 52 mph is 5-x hours.\r\n" );
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document.write( "Then you have this \"distance equation\"\r\n" );
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document.write( "63x + 52*(5-x) = 282. \r\n" );
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document.write( "Simplify and solve it for x.\r\n" );
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