Question

You've increased your running distance by 46% over the last few months. You currently run 12 miles in a week. How many miles did you used to run in a week?

a) 8.2 miles
b) 10.3 miles
c) 14.7 miles
d) 17.4 miles

Answer 1

The student used to run approximately 8.2 miles in a week before the 46% increase, which results in the current 12 miles they run weekly.

Step-by-step explanation:

The student currently runs 12 miles, which represents a 46% increase over their original distance. To find the original distance run, we must first determine what 46% of the original distance is. Since 12 miles is 146% of the original distance, we divide by 1.46 to find the original distance.

Original distance = Current distance / (1 + Percentage increase)
Original distance = 12 miles / (1 + 0.46)
Original distance = 12 miles / 1.46
Original distance ≈ 8.2 miles

Therefore, the student used to run approximately 8.2 miles a week. The answer is a) 8.2 miles.