May 26th, 2013, 04:22 PM  #1 
Newbie Joined: May 2013 Posts: 3 Thanks: 0  Related Rates
I've done this problem so many times and I don't understand what i'm doing wrong. The problem is... At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship B is sailing north at 16 knots. How fast (in knots) is the distance between the ships changing at 3 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) 
May 26th, 2013, 05:02 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,406 Thanks: 859 Math Focus: Elementary mathematics and beyond  Re: Related Rates
Let d(t) be the function of distance between the two ships in terms of t hours past noon: 

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