document.write( "Question 1130533: A motorboat traveling a distance of 105 miles in 3 hours while traveling with the current. Against the current, the same trip took 7 hours. Find the rate of the boat in calm water and the rate of the current.
\n" ); document.write( "rate of boat_____mph
\n" ); document.write( "rate of current mph
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Algebra.Com's Answer #747227 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Note that you can solve the problem informally, using logical reasoning and some simple calculations, instead of using the formal algebraic approach shown by tutor @ikleyn. The formal algebraic method is certainly valid; but if you just need to solve the problem quickly by whatever method you want (as in a timed mathematics competition), then this alternative method is very useful.

\n" ); document.write( "Simple calculations show that the speed of the boat with the current is 35mph while its speed against the current is 15mph.

\n" ); document.write( "The 35mph is the boat's speed PLUS the speed of the current; the 15mph is the boat's speed MINUS the speed of the current. Common sense then says that the speed of the boat is halfway between 15mph and 35mph: 25mph. And then the speed of the current is the difference between 25mph and either 15mph or 35mph.

\n" ); document.write( "So the speed of the boat is 25mph and the speed of the current is 10mph.
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