document.write( "Question 923702: on a certain river, a paddle boat travels 8 miles upstream against the current in the same amount of time it travels 16 miles downstream with the current . If the current of the river is 2 miles per hour determine the speed of the boat in still water \n" ); document.write( "

Algebra.Com's Answer #560270 by TimothyLamb(4379) $\"\"$ $\"About$

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s = d/t
\n" ); document.write( "---
\n" ); document.write( "b = boat speed in still water
\n" ); document.write( "c = current speed
\n" ); document.write( "c = 2 mph
\n" ); document.write( "---
\n" ); document.write( "up:
\n" ); document.write( "b - c = 8/t
\n" ); document.write( "b - 2 = 8/t
\n" ); document.write( "b = 8/t + 2
\n" ); document.write( "---
\n" ); document.write( "down:
\n" ); document.write( "b + c = 16/t
\n" ); document.write( "b = 16/t - 2
\n" ); document.write( "---
\n" ); document.write( "8/t + 2 = 16/t - 2
\n" ); document.write( "8/t = 4
\n" ); document.write( "t = 2 hours
\n" ); document.write( "---
\n" ); document.write( "b = 8/t + 2
\n" ); document.write( "b = 8/2 + 2
\n" ); document.write( "b = 4 + 2
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "b = 6 mph
\n" ); document.write( "---
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