Question

Tanya is training a turtle for a turtle race. For every 1/3 of an hour that the turtle is crawling, he can travel 1/11 of a mile. At what unit rate is the turtle crawling?

Answer 1

To find the unit rate at which the turtle is crawling, we need to calculate how far the turtle travels in one hour.

Given that the turtle travels \( \frac{1}{11} \) of a mile in \( \frac{1}{3} \) of an hour, we can calculate the distance traveled in one hour by determining how many \( \frac{1}{3} \) hour intervals fit into one hour:

\[
1 \text{ hour} = 3 \times \left(\frac{1}{3} \text{ hour}\right)
\]

Thus, the turtle will complete 3 intervals of \( \frac{1}{3} \) of an hour in one hour. Therefore, the distance traveled in one hour is:

\[
\text{Distance in 1 hour} = 3 \times \frac{1}{11} \text{ miles}
\]

Calculating this:

\[
3 \times \frac{1}{11} = \frac{3}{11} \text{ miles}
\]

Now, the unit rate, which describes the distance traveled per hour, is:

\[
\frac{3}{11} \text{ miles per hour}
\]

Thus, the unit rate at which the turtle is crawling is

\[
\boxed{\frac{3}{11}} \text{ miles per hour}
\]