document.write( "Question 1150162: A bow goes 240 miles downstream in the same time making go 160 miles upstream the speed of the current is 5 mph what is the speed of the boat in still water ? \n" ); document.write( "

Algebra.Com's Answer #771522 by greenestamps(13209) $\"\"$ $\"About$

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\n" ); document.write( "The ratio of the distances is 240:160 = 3:2, and the times are the same. So the ratio of the speeds is 3:2.

\n" ); document.write( "Let x be the speed of the boat in still water. If the speed of the current is 5mph, then the upstream speed is x-5 and the downstream speed is x+5. So

\n" ); document.write( " $\"%28x%2B5%29%2F%28x-5%29+=+3%2F2\"$
\n" ); document.write( " $\"3x-15+=+2x%2B10\"$
\n" ); document.write( " $\"x+=+25\"$

\n" ); document.write( "ANSWER: The speed of the boat in still water is 25mph.

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