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A car is traveling at a steady speed. It travels 2 and one third miles in 3 and one half minutes. How far will it travel in 22 minutes? In 1 hour?

1 Answer

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Final answer:

The car will travel 14 miles in 22 minutes and 40 miles in 1 hour.

Step-by-step explanation:

To find out how far the car will travel in 22 minutes, we can use the information given about its average speed. The car travels 2 and one third miles in 3 and one half minutes, which can be simplified to 7/3 miles in 7/2 minutes. We can use a ratio to find out how far the car will travel in 22 minutes:

  1. Distance / Time = Distance / Time (constant speed)
  2. 7/3 miles / 7/2 minutes = x miles / 22 minutes
  3. Simplifying the ratio gives us: x = (7/3 * 22) / (7/2) = 14 miles

So, the car will travel 14 miles in 22 minutes.

To find out how far the car will travel in 1 hour, we can use the same method. 1 hour is equal to 60 minutes, so:

  1. 7/3 miles / 7/2 minutes = x miles / 60 minutes
  2. Simplifying the ratio gives us: x = (7/3 * 60) / (7/2) = 40 miles

So, the car will travel 40 miles in 1 hour.

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