Answer: it will take her 58 minutes to walk one mile.
Explanation:
She walks at a constant rate of 30 seconds per lap and it takes her 46 steps to walk one full lap. It means that she walks 46 steps in 30 seconds.
If each step is approximately 1 foot, it means that the number of feet that she walks in 30 seconds is 46 feet.
1 foot = 0.000189 miles
Therefore, 46 feet would be
46 × 0.00189 = 0.008694 miles
Therefore, if she she walks 0.008694 miles in 30 seconds,
The time it will take her to walk 1 mile would be
30/0.008694 = 3450.66 seconds
Converting to minutes, it becomes
3450.66/60 = 58 minutes