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How long does it take an airplane flying at a speed of 600 miles per hour to fly 3,000 miles? A. 0.2 hours B. 0.5 hours C. 2 hours D. 5 hours
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Answer

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Step 1:
I'll solve this problem step by step using the specified LaTeX formatting guidelines:

Step 2:
: Identify the Given Information

- Speed of airplane = $$600 \text{ miles per hour}
- Distance to travel = 3,000 \text{ miles}

Step 3:
: Set Up the Distance-Rate-Time Formula

The formula to calculate time is: $$\text{Time} = \frac{\text{Distance}}{\text{Speed}}

Step 4:
: Plug in the Values

\text{Time} = \frac{3,000 \text{ miles}}{600 \text{ miles per hour}}

Step 5:
: Calculate the Time

\text{Time} = 5 \text{ hours}

Step 6:
: Check the Given Options

Comparing our calculated result with the provided options, we can see that 5 hours corresponds to option D.

Final Answer

Explanation: By dividing the total distance (3,000 miles) by the airplane's speed (600 miles per hour), we determine that the flight will take 5 hours to complete the journey.