document.write( "Question 246664: A train travels 600 kilometers in the same time that a truck travels 520 kilometers. Find the speed of the train if the train's average speed is 8 kilometers per hour faster than the truck's. \n" ); document.write( "
Algebra.Com's Answer #180046 by rapaljer(4671)\"\" \"About 
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Let x= rate of the truck
\n" ); document.write( "x+8= rate of the train
\n" ); document.write( "520 = distance of truck
\n" ); document.write( "600= distance of train\r
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\n" ); document.write( "\n" ); document.write( "Time of Truck = Time of Train
\n" ); document.write( "\"D%2Fr=D%2Fr\"
\n" ); document.write( "\"520%2Fx=600%2F%28x%2B8%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since \"a%2Fb=c%2Fd\" means that \"ad=bc\",
\n" ); document.write( "\"520%2Fx=600%2F%28x%2B8%29\" means that \"520%2A%28x%2B8%29=600%2Ax%29\"
\n" ); document.write( "520x+520*8=600x\r
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\n" ); document.write( "\n" ); document.write( "Subtract 520x from each side:
\n" ); document.write( "520*8=80x
\n" ); document.write( "52=x\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So, x= 52 km/hr = speed of truck
\n" ); document.write( "x+8= 60 km/hr = speed of train\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "\"520%2F52=600%2F60\"\r
\n" ); document.write( "\n" ); document.write( "It checks!\r
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\n" ); document.write( "\n" ); document.write( "a) If x=6, then A=x^2 + 6x +8
\n" ); document.write( "A=6^2 +6*6+8
\n" ); document.write( "A=36+36+8
\n" ); document.write( "A= 80 square units\r
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\n" ); document.write( "\n" ); document.write( "b) If A=x^2 +6x+8
\n" ); document.write( "A=(x+2)(x+4)\r
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\n" ); document.write( "\n" ); document.write( "A= W*L
\n" ); document.write( "If x+2 = width, then L=x+4.\r
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\n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired
\n" ); document.write( "Seminole State College of Florida
\n" ); document.write( "Altamonte Springs Campus\r
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