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1. Cora is on an island 2 miles from the straight shoreline of the ocean. She is training for an Ironman race (a long-distance triathlon) and is planning to swim to shore and then run down the shore to a town 8 miles away from the point on the shoreline closest to the island. She wants to minimize the time spent swimming and running. Determine where she should swim to on the shore to reach the town in the least amount of time, given she swims at 2mi and runs at 7m. What is the minimum time to complete the training exercise?

1. Cora is on an island 2 miles from the straight shoreline of the ocean. She is training for an Ironman race (a long-distance triathlon) and is planning to swim to shore and then run down the shore to a town 8 miles away from the point on the shoreline closest to the island. She wants to minimize the time spent swimming and running. Determine where she should swim to on the shore to reach the town in the least amount of time, given she swims at 2mi and runs at 7m. What is the minimum time to complete the training exercise?

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 34A
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1. Cora is on an island 2 miles from the straight shoreline of the ocean. She is training for an Ironman race (a long-distance triathlon) and is planning to swim to shore and then run down the shore to a town 8 miles away from the point on the shoreline closest to the island. She wants to minimize the time spent swimming and running. Determine where she should swim to on the shore to reach the town in the least amount of time, given she swims at 2m, and runs at 7m. What is the minimum time to complete the training exercise?
Transcribed Image Text:1. Cora is on an island 2 miles from the straight shoreline of the ocean. She is training for an Ironman race (a long-distance triathlon) and is planning to swim to shore and then run down the shore to a town 8 miles away from the point on the shoreline closest to the island. She wants to minimize the time spent swimming and running. Determine where she should swim to on the shore to reach the town in the least amount of time, given she swims at 2m, and runs at 7m. What is the minimum time to complete the training exercise?
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