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Answer :
The pace in minutes per mile is 1.32.
We are given the pace as 4000 feet per minute. As per the known fact, 1 foot is 0.00012 mile. Hence, 4000 feet is 0.758 mile. Therefore, the current pace is 0.758 mile per minute.
To convert the pace in minutes per mile, we will calculate the time required to cover one mile. As given in the question, I cover distance in 1 minute = 0.758 mile.
So, the time required to cover 1 mile is 1 ÷ 0.758
Hence, the time required to cover 1 mile is 1.32 minutes.
Thus, 1.32 minutes per mile is my current pace as per the given conditions.
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Final answer:
You travel at a speed of 4000 feet per minute. When converted, this is approximately 0.7576 miles per minute. Therefore, your speed in 'minutes per mile' is the reciprocal, which is approximately 1.32 minutes per mile.
Explanation:
To solve this problem, we first need to convert all units to the same format. Given that you travel 4,000 feet every minute and that there are 5,280 feet in a mile, you can find out how many miles you travel per minute by dividing the distance in feet by the number of feet in a mile. So, 4000 feet per minute is equivalent to 4000/5280 = 0.7576 miles per minute.
However, the question asks for your speed in minutes per mile, so we need to find the reciprocal of this figure. The reciprocal of 0.7576 miles per minute is 1/0.7576 = 1.32 minutes per mile. This is your pace in minutes per mile.
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