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A car is traveling at a rate of 80 miles per hour. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

Question

A car is traveling at a rate of 80 miles per hour. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

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Solution

To solve the problem, we need to convert the car's speed from miles per hour to kilometers per hour and then calculate the distance traveled in 5 hours.

  1. Convert the car's speed from miles per hour to kilometers per hour:

    • Given: 1 mile = 1.6 kilometers
    • The car's speed is 80 miles per hour.
    • To convert miles per hour to kilometers per hour, multiply the speed in miles per hour by the conversion factor (1.6 kilometers per mile).

    80 miles per hour×1.6 kilometers per mile=128 kilometers per hour 80 \text{ miles per hour} \times 1.6 \text{ kilometers per mile} = 128 \text{ kilometers per hour}

  2. Calculate the distance traveled in 5 hours:

    • The car's speed in kilometers per hour is 128 kilometers per hour.
    • To find the distance traveled in 5 hours, multiply the speed by the time.

    128 kilometers per hour×5 hours=640 kilometers 128 \text{ kilometers per hour} \times 5 \text{ hours} = 640 \text{ kilometers}

Therefore, the car's rate is 128 kilometers per hour, and the car will travel 640 kilometers in 5 hours.

This problem has been solved

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