document.write( "Question 1124228: Two boats leave the dock at the same time and travel in opposite directions. One travels 9 mph faster than the other. After 2 hours the boats are 170 miles apart. How fast is each boat traveling? \n" ); document.write( "
Algebra.Com's Answer #740572 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Let \"x\" be the rate (the speed) of the slower motorboat, in miles-per-hour.\r
\n" ); document.write( "\n" ); document.write( "Then the rate of the faster motorboat is \"%28x%2B9%29mph\".\r
\n" ); document.write( "\n" ); document.write( "the distance \"d=r%2At\"\r
\n" ); document.write( "\n" ); document.write( "after \"2h\":\r
\n" ); document.write( "\n" ); document.write( "\"d=2x\"->the slower motorboat
\n" ); document.write( "\"d=2%28x%2B9%29\"->the faster motorboat \r
\n" ); document.write( "\n" ); document.write( "since they travel in opposite directions, you need to add \"2x%2B2%28x%2B9%29\" to get how par the boats are apart\r
\n" ); document.write( "\n" ); document.write( "since given that the boats are \"170\" miles apart, your equation is\r
\n" ); document.write( "\n" ); document.write( "\"2x+%2B+2%28x%2B9%29+=+170\"\r
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\n" ); document.write( "\n" ); document.write( "Simplify and solve the equation for \"x\":\r
\n" ); document.write( "\n" ); document.write( "\"4x+%2B+18+=+170\" \r
\n" ); document.write( "\n" ); document.write( "\"4x+=+170+-+18\" \r
\n" ); document.write( "\n" ); document.write( "\"4x+=+152\" \r
\n" ); document.write( "\n" ); document.write( "\"x+=+152%2F4+=+38\" \r
\n" ); document.write( "\n" ); document.write( " The speed of the \"slower\" motorboat is \"38mph\".
\n" ); document.write( "The speed of the faster motorboat is \"38%2B9+=+47mph\".\r
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