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Answer :
Final answer:
Frank runs at a speed of 6 mph while Ted runs at a speed of 4 mph, based on the given ratio and distance difference.
Explanation:
This question is related to ratio and proportion in mathematics. The problem states that Ted's speed is two thirds of Frank's speed, meaning if Frank runs at a speed of 'x', Ted runs at a speed of '(2/3)x'.In the time frame of 2 hours, Frank runs 8 miles more than Ted. Therefore, in equation form, this becomes: 2x = 2*(2/3)x + 8. Simplifying that equation, we find that Frank's speed x = 6 mph. Accordingly, Ted's speed then is (2/3)x = 4 mph.Therefore, the correct answer is Option A: Frank runs at a speed of 6 mph and Ted runs at a speed of 4 mph.
Learn more about Ratio and Proportion here:
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