Haley and Penelope are trying to locate each other at an amusement park. Haley is walking north of the carousel at 5 ft/sec5\text{ ft/sec}. Five minutes later Penelope starts walking south at 8 ft/sec8\text{ ft/sec} from the Ferris wheel which is 1781 feet1781\text{ feet} east of the carousel. What is the rate they are moving apart from each other 15 minutes15\text{ minutes} after Haley starts walking?

Round your answer to the nearest hundredth.

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