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QUESTION

A passenger ship and an oil tanker left port together sometime in the morning; the former headed north, the latter headed east.

A passenger ship and an oil tanker left port together sometime in the morning; the former headed north, the latter headed east. At noon, the passenger ship was 40 miles from port sailing at 30 mph, while the oil tanker was 30 miles from port and sailing at 20 mph. How fast was the distance between the two ships changing at that time? Show all work.

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