Question

Samuel cycled at 10 1/2 miles per hour for 3 1/2 hours. How far did he travel

Answer 1

To find out how far Samuel traveled, you can use the formula:

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

Here, Samuel's speed is \(10 \frac{1}{2}\) miles per hour, which can be converted to an improper fraction:

\[
10 \frac{1}{2} = \frac{21}{2} \text{ miles per hour}
\]

His time is \(3 \frac{1}{2}\) hours, which can also be converted to an improper fraction:

\[
3 \frac{1}{2} = \frac{7}{2} \text{ hours}
\]

Now, you can plug these values into the distance formula:

\[
\text{Distance} = \left(\frac{21}{2}\right) \times \left(\frac{7}{2}\right)
\]

Multiply the fractions:

\[
\text{Distance} = \frac{21 \times 7}{2 \times 2} = \frac{147}{4}
\]

Now, convert \(\frac{147}{4}\) into a mixed number:

\[
\frac{147}{4} = 36 \frac{3}{4}
\]

So, the distance Samuel traveled is \(36 \frac{3}{4}\) miles, or \(36.75\) miles.