document.write( "Question 1205976: The speed of a stream is 5 mph. A boat travels 9 miles upstream in the same time it takes to travel 19 miles downstream. What is the speed of the boat in still water? \n" ); document.write( "

Algebra.Com's Answer #843098 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Let x be the speed of the boat in still water. Then x+5 is its speed downstream and x-5 is its speed upstream.

\n" ); document.write( "The times are the same, so the ratio of distances is the same as the ratio of speeds:

\n" ); document.write( " $\"%28x%2B5%29%2F%28x-5%29=19%2F9\"$
\n" ); document.write( " $\"19%28x-5%29=9%28x%2B5%29\"$
\n" ); document.write( " $\"19x-95=9x%2B45\"$
\n" ); document.write( " $\"10x=140\"$
\n" ); document.write( " $\"x=14\"$

\n" ); document.write( "ANSWER: 14mph

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