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Answer:

184800 times

Step-by-step explanation:

The first step is to find out how many times the wheels turn in one foot. The ratio of rotations per minute is 20:140. This can be simplified to 1:7, meaning there is 1/7 of a rotation for every 1 foot.

Next, we need to find out how many times they turn in one mile. The ratio is 1:7, and the 1 needs to become 5280. To do this, multiply both sides of the ratio by 5280. You will get 5280:36960, meaning there is 36960 rotations every mile (the ratio of miles to rotations is 1:36960).

Now, multiply 1:36960 by 5 to get the amount of rotations per every 5 miles. You will get 184800.

Final answer: the wheels turn 184800 times in 5 miles.

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