acob is roller skating. He can skate 3/10 of a mile in 1/2 of a minute. What is Jacob's unit rate in miles per minute?

A. 3/5

B. 6 2/3

C. 3/20

D. 1/20

1 answer

To find Jacob's unit rate in miles per minute, we need to determine how many miles he skates in one minute.

He skates \( \frac{3}{10} \) of a mile in \( \frac{1}{2} \) minute. To find his rate in miles per minute, we can set up the calculation as follows:

  1. Determine how many times \( \frac{1}{2} \) minute fits into 1 minute:

\[ 1 \text{ minute} \div \frac{1}{2} \text{ minute} = 2 \]

  1. Since he skates \( \frac{3}{10} \) of a mile in \( \frac{1}{2} \) minute, in 1 minute he will skate:

\[ 2 \times \frac{3}{10} = \frac{6}{10} = \frac{3}{5} \text{ miles} \]

Thus, Jacob's unit rate is \( \frac{3}{5} \) miles per minute.

The correct answer is:

A. \( \frac{3}{5} \)