Armand and Jill are 247.5 miles apart, and driving toward each other. Armand is driving at a rate of 50 miles per hour and Jill is driving at a rate of 60 miles per hour. Use the scenario and table to determine which statements are true. Check all that apply.

Answer:

Armand and Jill will each travel the same distance to meet. Armand and Jill will travel the same amount of time to meet. Jill will travel 135 miles to meet Armand.

explaination:

To analyze the scenario, we first note that Armand and Jill are driving towards each other, covering a total distance of 247.5 miles. The distances they travel can be expressed as 50t for Armand and 60t for Jill, where t is the time in hours. The equation to find the time they will meet is 50t + 60t = 247.5, which simplifies to 110t = 247.5. Solving for t gives us t = 2.25 hours. Substituting this value back into the distance equations, we find that Armand travels 50 * 2.25 = 112.5 miles, while Jill travels 60 * 2.25 = 135 miles. Therefore, the true statements are that they will not travel the same distance, but they will travel the same amount of time to meet, and Jill will indeed travel 135 miles.

Topic: Mathematics, Rates, and Distances

Tags: math rates distance problem solving

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Armand and Jill are 247.5 miles apart, and driving toward each other. Armand is driving at a rate of 50 miles per hour and Jill is driving at a rate of 60 miles per hour. Use the scenario and table to determine which statements are true. Check all that apply.

Question:

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Answer:

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