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Rate of Change of Distance Between Ships
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Two ships leave from ports that are 50 miles apart. Ship A travels east at a constant speed of 20 miles per hour, while Ship B travels south at a constant speed of 15 miles per hour. Initially, Ship A is at the southern port and Ship B is at the northern port. At what rate, in miles per hour, is the distance between the two ships changing after 2 hours?

A

$$5\sqrt{5}$$

B

$$10\sqrt{5}$$

C

$$\sqrt{5}$$

D

$$25$$

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