Question

Debbie has been training for the Bayside Bike Race. The first week she trained, she rode 4 days and took the same two routes each day: 12 miles through her neighborhood in the morning and a shorter route on a park trail in the evening. By the end of the week, she had ridden a total of 72 miles. Now, what was the average number of miles she rode in the evening for the first week of her training?

A) 6 miles
B) 9 miles
C) 12 miles
D) 15 miles

Answer 1

Debbie's average number of evening miles is calculated by subtracting the morning miles from the total weekly miles and then dividing by the number of evenings. The answer is 6 miles per evening.

Step-by-step explanation:

To calculate the average number of miles Debbie rode in the evening, we need to subtract the total miles she rode in the morning from the overall total miles she rode during the week, and then divide by the number of evening rides. Debbie rode 12 miles through her neighborhood each morning, which totals to 48 miles over 4 days (12 miles/day × 4 days = 48 miles). Given that she rode 72 miles in total over the week, the evening miles are calculated as follows: 72 total miles - 48 morning miles = 24 miles in the evening. Since she rode 4 evenings, the average miles per evening ride would be: 24 miles / 4 evenings = 6 miles per evening.

Thus, the correct answer to how many miles Debbie averaged in the evening is: Option A) 6 miles.

Answer 2

Debbie rode a total of 72 miles over 4 days, with 48 miles from morning rides, leaving 24 miles for evening rides. The average evening ride was then 24 miles divided by 4, which is 6 miles. So, the average number of miles she rode in the evening for the first week was 6 miles (Answer A).

Step-by-step explanation:

The student asked how to find the average number of miles Debbie rode in the evenings during the first week of her training for the Bayside Bike Race. Debbie trained by riding two routes 4 days a week: a 12-mile route in the morning and a shorter route in the evening. By the end of the week, she rode a total of 72 miles.

To calculate the evening route mileage, we need to first determine the total mileage of the morning routes. Since Debbie rode the 12-mile route 4 times, we multiply 12 miles by 4 for a total of 48 miles. Subtracting this from the total weekly mileage (72 miles) gives us the total evening route mileage, which is 24 miles (72 miles - 48 miles = 24 miles).

Next, we find the average evening mileage by dividing the total evening mileage by the number of times she rode in the evening, which is also 4. Hence, the average evening mileage is 6 miles (24 miles / 4 evenings = 6 miles).

Therefore, the correct answer is A) 6 miles.