a commuter train travels 67 kilometers in 28 minutes. what is its speed in kilometers per hour?

the speed is approximately 0.75 dropdown
(round to the nearest tenth as needed.)

Question

a commuter train travels 67 kilometers in 28 minutes. what is its speed in kilometers per hour?

the speed is approximately 0.75 dropdown
(round to the nearest tenth as needed.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Dimensional Analysis", "Unit Conversion" ], "new_concepts": [ "Speed Calculation" ], "current_concepts": [ "Dimensional Analysis", "Unit Conversion", "Speed Calculation" ] } ## Identify given values and target unit Using the *Dimensional Analysis* knowledge point $$ \begin{aligned} &\text{Distance} = 67\text{ km}\ &\text{Time} = 28\text{ minutes}\ &\text{Target Unit} = \frac{\text{km}}{\text{hr}} \end{aligned} $$ ## Convert time from minutes to hours Using the *Unit Conversion* knowledge point $$ \begin{aligned} &\text{Conversion Factor: } 1\text{ hr} = 60\text{ minutes}\ &\text{Time in hours} = 28\text{ min} \times \frac{1\text{ hr}}{60\text{ min}} = \frac{28}{60}\text{ hr} = \frac{7}{15}\text{ hr} \end{aligned} $$ ## Calculate speed in kilometers per hour Using the *Dimensional Analysis* knowledge point $$ \begin{aligned} &\text{Speed} = \frac{\text{Distance}}{\text{Time}}\ &\text{Speed} = \frac{67\text{ km}}{\frac{7}{15}\text{ hr}} = 67 \times \frac{15}{7}\text{ km/hr} = \frac{1005}{7}\text{ km/hr} \approx 143.5714\text{ km/hr} \end{aligned} $$ ## Round to the nearest tenth Using the *Dimensional Analysis* knowledge point $$ \begin{aligned} &\text{Speed} \approx 143.6\text{ km/hr} \end{aligned} $$ A commuter train travels 67 kilometers in 28 minutes. What is its speed in kilometers per hour? The speed is approximately 143.6 $\frac{\text{km}}{\text{hr}}$. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Dimensional Analysis" ] }

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Question

Explanation:

Identify given values and target unit

Convert time from minutes to hours

Calculate speed in kilometers per hour

Round to the nearest tenth

Answer: