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Algebra Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Meera walked in the park. She walked half of the total time at a speed of 22 km/h. She then walked half of the total distance at a speed of 33 km/h. Finally, she completed the remainder of the walk at a speed of 44 km/h. For what fraction of the total time did she walk at a speed of 44 km/h?

(A) 114\dfrac{1}{14} (B) 112\dfrac{1}{12} (C) 17\dfrac{1}{7} (D) 15\dfrac{1}{5} (E) 14\dfrac{1}{4}

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