if mary drove 490 miles in 7 hours at an average speed of 70 miles per hour, how many miles per hour would her average speed need to be to make the trip in 5 hours?

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Proportional Reasoning", "Inverse Proportion Equations" ], "new_concepts": [ "Distance Speed Time Relationship" ], "current_concepts": [ "Proportional Reasoning", "Inverse Proportion Equations", "Distance Speed Time Relationship" ] } ## Identify the constant distance $$ d = 490\text{ miles} $$ ## Calculate the required speed for the new time $$ \begin{aligned} t &= 5\text{ hours} \ r &= \frac{d}{t} \ r &= \frac{490}{5} \ r &= 98\text{ miles per hour} \end{aligned} $$ 98 { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Distance Speed Time Relationship" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the constant distance

Calculate the required speed for the new time

Answer: