Answer :
Final answer:
The bicycle will take approximately 1 minute to travel 1 mile.
Explanation:
To solve this problem, we need to calculate the distance traveled by the bicycle in one revolution and then use it to find the total distance traveled in 80 revolutions. First, let's calculate the distance traveled in one revolution. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, the radius of the bicycle tire is 5/2 = 2.5 inches. Converting this to feet, we get r = 2.5/12 = 0.2083 feet. Plugging this value into the circumference formula, we get C = 2π(0.2083) = 1.306 feet. Therefore, the bicycle travels a distance of 1.306 feet in one revolution.
Next, let's calculate the total distance traveled in 80 revolutions. To do this, we multiply the distance traveled in one revolution by the number of revolutions. So, the total distance traveled is 1.306 x 80 = 104.48 feet.
Finally, let's convert this distance to miles. There are 5280 feet in a mile, so the total distance traveled in miles is 104.48/5280 = 0.0198 miles. Rounding to the nearest minute, it will take the bicycle approximately 1 minute to travel 1 mile.
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