A student traveled 206 km in 16 days. At the same ratio, how far would the student travel in 64 days?

206/16 = x/64

Cross multiply and solve for x.

824

To find out how far the student would travel in 64 days using the same ratio, we first need to determine the student's daily travel distance.

To do this, we'll divide the total distance traveled by the number of days:

206 km ÷ 16 days = 12.875 km per day

Now that we know the student travels approximately 12.875 km per day, we can calculate the total distance traveled in 64 days.

To do this, we'll multiply the daily travel distance by the number of days:

12.875 km/day × 64 days = 823 km

Therefore, the student would travel approximately 823 km in 64 days using the same ratio as the initial scenario.