anya is training a turtle for a turtle race. For every 1/3 of an hour that the turtle is crawling, he can travel 1/7 of a mile. At what unit rate is the turtle crawling?

Answer 1

To find the unit rate of the turtle's crawling speed in miles per hour, we can start by determining how far the turtle travels in one hour.

The turtle travels \( \frac{1}{7} \) of a mile in \( \frac{1}{3} \) of an hour.

To find the distance traveled in one hour, we can set up a proportion:

\[ \text{Distance in 1 hour} = \text{Distance in } \frac{1}{3} \text{ hour} \times \text{Number of } \frac{1}{3} \text{ hours in 1 hour} \]

There are 3 segments of \( \frac{1}{3} \) hour in 1 hour:

\[ \text{Distance in 1 hour} = \frac{1}{7} \text{ miles} \times 3 = \frac{3}{7} \text{ miles} \]

Now, the unit rate (speed) in miles per hour is:

\[ \text{Unit Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{\frac{3}{7} \text{ miles}}{1 \text{ hour}} = \frac{3}{7} \text{ miles per hour} \]

Thus, the turtle is crawling at a rate of \( \frac{3}{7} \) miles per hour.