Question

Jack can swim 1/4 miles in 6/4 hours. How many miles can he swim in one hour?
1/6
1/4
6/4
1/2

Answer 1

To find out how many miles Jack can swim in one hour, we first need to calculate his swimming speed in miles per hour.

Jack swims \( \frac{1}{4} \) miles in \( \frac{6}{4} \) hours. We can calculate his speed with the formula:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

Substituting the values we have:

\[
\text{Speed} = \frac{\frac{1}{4} \text{ miles}}{\frac{6}{4} \text{ hours}} = \frac{1}{4} \div \frac{6}{4}
\]

Dividing by a fraction is the same as multiplying by its reciprocal:

\[
\text{Speed} = \frac{1}{4} \times \frac{4}{6} = \frac{1 \times 4}{4 \times 6} = \frac{4}{24} = \frac{1}{6} \text{ miles per hour}
\]

Thus, Jack can swim \( \frac{1}{6} \) miles in one hour.

So, the answer is

\[
\frac{1}{6}
\]