document.write( "Question 1105953: A boat takes 2/3 as much time to travel downstream as to its return. If the rate of the river's current is 8 kph, what is the rate of the boat i still water? \n" ); document.write( "

Algebra.Com's Answer #720873 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "The response from the other tutor is a perfectly good one....

\n" ); document.write( "I set up the problem a bit differently than she does and arrive at the same equation by a different path.

\n" ); document.write( "Take a look at both methods and see if one of them \"works\" better for you.

\n" ); document.write( "Since the ratio of times for the downstream and upstream trips is 2:3, the ratio of speeds must be 3:2.
\n" ); document.write( "Then, since the upstream and downstream distances are the same, 3 times the upstream rate must equal 2 times the downstream rate.
\n" ); document.write( "And since the rate of the current is 8 kph, the upstream and downstream speeds are x-8 and x+8. So

\n" ); document.write( " $\"3%28x-8%29+=+2%28x%2B8%29\"$

\n" ); document.write( "which is the same equation she ended up with by a different path. And so of course the solution from there is as she shows it. \n" ); document.write( "

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