document.write( "Question 813371: The speed of a stream is 3 km/h. A boat travels 6 km upstream in the same time it takes to travel 10 km downstream. What is the speed of the boat in still water? \n" ); document.write( "

Algebra.Com's Answer #489612 by TimothyLamb(4379) $\"\"$ $\"About$

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w = 3 kph
\n" ); document.write( "---
\n" ); document.write( "s = d / t
\n" ); document.write( "t = d / s
\n" ); document.write( "---
\n" ); document.write( "6/(b - w) = 10/(b + w)
\n" ); document.write( "10/(b + w) - 6/(b - w) = 0
\n" ); document.write( "---
\n" ); document.write( "10(b - w)/((b + w)(b - w)) - 6(b + w)/((b + w)(b - w)) = 0
\n" ); document.write( "10(b - w) - 6(b + w) = 0 * ((b + w)(b - w))
\n" ); document.write( "---
\n" ); document.write( "10(b - 3) - 6(b + 3) = 0
\n" ); document.write( "10b - 30 - 6b - 18 = 0
\n" ); document.write( "4b - 48 = 0
\n" ); document.write( "4b = 48
\n" ); document.write( "b = 12
\n" ); document.write( "---
\n" ); document.write( "Answer:
\n" ); document.write( "the speed of the boat in still water is 12 kph
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