document.write( "Question 937217: Jane is 2 miles offshore in a boat and wishes to reach a coastal village 6 miles down a straight shoreline from the point nearest the boat. She can row 2 mph and can walk 5 mph. Where should she land her boat to reach the village in the least amount of time? \n" ); document.write( "

Algebra.Com's Answer #571217 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
t = $\"sqrt%28x%5E2%2B2%5E2%29%2F2\"$ + $\"%28%286-x%29%29%2F5\"$
\n" ); document.write( "------------
\n" ); document.write( "Find the derivative of t wrt x:
\n" ); document.write( "dt/dx = $\"x%2F%282%2Asqrt%28x%5E2%2B4%29%29+-+1%2F5+=+0%0D%0A%7B%7B%7B5x+-+2sqrt%28x%5E2%2B4%29+=+0\"$
\n" ); document.write( " $\"5x+=+2sqrt%28x%5E2%2B4%29\"$
\n" ); document.write( " $\"25x%5E2+=+4%2Ax%5E2%2B4%29\"$
\n" ); document.write( " $\"x%5E2+16%2F21\"$
\n" ); document.write( " $\"x+=+4sqrt%2821%29%2F21\"$
\n" ); document.write( "x =~ 0.87287 miles
\n" ); document.write( "distance = 6 - x
\n" ); document.write( " \n" ); document.write( "

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