document.write( "Question 1178426: Hello there,\r
\n" ); document.write( "\n" ); document.write( "I've been trying to answer this question but I can't seem to arrive at the correct answer which is supposed to be 17 mph, any help would be much appreciated, thank you.\r
\n" ); document.write( "\n" ); document.write( "Two trains travel at right angles to each other after leaving the same train station at the same time. Two hours later they are 42.80 miles apart. If one travels 4 miles per hour slower than the other, what is the rate of the faster train? (Round your answer to the nearest integer).
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Algebra.Com's Answer #807645 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Their speeds are \"r\" and\"+r-4\", in miles per hour.
\n" ); document.write( "The distance traveled for each in the \"2\" hours are \"2r\" and \"2%28r%2B7%29\"\r
\n" ); document.write( "\n" ); document.write( "We know that\r
\n" ); document.write( "\n" ); document.write( "\"%282x%29%5E2%2B%282%28x-4%29%29%5E2=42.80%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2%2B4%28x-4%29%5E2=1831.84\"\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2%2B4%28x%5E2-8x%2B16%29=1831.84\"\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2%2B4x%5E2-32x%2B64=1831.84\"\r
\n" ); document.write( "\n" ); document.write( "\"8x%5E2-32x%2B64=1831.84\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-4x%2B8=228.98\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-4x%2B8-228.98=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-4x-220.98=0\".......using quadratic formula we get\r
\n" ); document.write( "\n" ); document.write( "\"x\"\"-12.9993\"->disregard negative solution\r
\n" ); document.write( "\n" ); document.write( "\"x\"\"16.9993\" -> round it \"x=17mph\"\r
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