Final answer:
By multiplying Peggy's rate of 12.5 miles per hour by 3 hours, we find that she will cover a total distance of 37.5 miles in 3 hours.
Step-by-step explanation:
The student's question involves calculating the distance Peggy will travel if she rides her bike for an additional hour at the same rate as she did during the initial two hours. To solve this, we use the concept of rate and apply it to find out the total distance covered in three hours.
Peggy rode her bike 25 miles in 2 hours. This gives us a rate of 12.5 miles per hour (25 miles ÷ 2 hours = 12.5 miles/hour). To find out how far she will ride in 3 hours, we multiply her hourly rate by 3:
Distance in 3 hours = rate × time = 12.5 miles/hour × 3 hours = 37.5 miles.
Therefore, if Peggy continues to ride her bike at this rate, she will cover a total distance of 37.5 miles in 3 hours.