document.write( "Question 153431: The speed of a stream is 3 mph. A boat travels 8 miles upstream at the same time it takes to travel 14 miles downstream. What is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #112964 by orca(409)\"\" \"About 
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Let x be the speed of the boat in still water.
\n" ); document.write( "So
\n" ); document.write( "The boat's downstream speed relative to the riverbank is x+3.
\n" ); document.write( "The boat's upstream speed relative to the riverbank is x-3.
\n" ); document.write( "Time spend traveling downstream is \"14%2F%28x%2B3%29\"
\n" ); document.write( "Time spend traveling upstream is \"8%2F%28x-3%29\"
\n" ); document.write( "As the time spend traveling downstream is the same as the time spend traveling upstream, we have:
\n" ); document.write( "\"14%2F%28x%2B3%29=8%2F%28x-3%29\"
\n" ); document.write( "Solving for x, we have:
\n" ); document.write( "\"%28x%2B3%29%28x-3%29%2A%2814%2F%28x%2B3%29%29=%28x%2B3%29%28x-3%29%2A%288%2F%28x-3%29%29\" (multiply both side by (x+3)(x-3)
\n" ); document.write( "\"14%28x-3%29=8%28x%2B3%29\"
\n" ); document.write( "\"14x-42=8x%2B24\"
\n" ); document.write( "\"6x=66\"
\n" ); document.write( "\"x=66%2F6\"
\n" ); document.write( "\"x=11\"
\n" ); document.write( "So the speed of the boat in still water is 11 miles per hour.\r
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