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Question
a commuter train travels 66 miles in 35 minutes. what is its speed in miles per hour? the speed is approximately \square (round to the nearest tenth as needed.)
Step1: Convert minutes to hours
Since 1 hour = 60 minutes, 35 minutes = $\frac{35}{60}$ hours.
Step2: Calculate speed using formula
Speed = $\frac{\text{Distance}}{\text{Time}}$, so substitute values: $\text{Speed} = \frac{66}{\frac{35}{60}}$
Simplify the expression: $\text{Speed} = 66 \times \frac{60}{35} = \frac{3960}{35} \approx 113.1$
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113.1