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At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship B is sailing north at 17 knots. How fast (in knots) is the distance between the ships changing at 4 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)
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The distance is \[\sqrt{(30+20t)^{2} + (17t)^{2}}\]
thank you got the answer 1678/sqrt(4181)
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