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A high-speed train travels 100 miles in( 2)/(3) hour. Which speed represents the rate of the train in miles per hour?

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Final answer:

The speed that represents the rate of the train is 150 miles per hour.

Step-by-step explanation:

The rate of the train can be calculated by dividing the distance traveled by the time taken. In this case, the high-speed train travels 100 miles in (2)/(3) hour. To find the rate in miles per hour, we divide 100 miles by (2)/(3) hour.

100 miles ÷ (2)/(3) hour = 100 × (3/2) = 150 miles per hour

Therefore, the speed that represents the rate of the train is 150 miles per hour.

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