Question
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
A. 3/5
B. 6 2/3
C. 3/20
D. 1/20
Answers
GPT-4o mini
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:
\[
1 \text{ minute} \div \frac{1}{2} \text{ minute} = 2
\]
2. 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. \( \frac{3}{5} \)**
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:
\[
1 \text{ minute} \div \frac{1}{2} \text{ minute} = 2
\]
2. 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. \( \frac{3}{5} \)**