Jariah walks 2

Question

2
1
​
miles in
4
3
​
of an hour. If Jariah continues at this rate, how far will she walk in 1 hour?
You’re trying to find the number of miles Jariah can walk in 1 hour. What do you need to divide
4
3
​
of an hour by to find 1 hour?
÷
Time (hours) Distance (miles)
4
3
​
2
2
1
​

1 ?

Answer 1

To find out how far Jariah will walk in 1 hour, first, we need to determine her walking rate in miles per hour.

Jariah walks \(2 \frac{2}{3}\) miles (which can be converted to an improper fraction: \(2 \frac{2}{3} = \frac{8}{3}\) miles) in \(\frac{4}{3}\) of an hour.

Now, to find her rate in miles per hour (speed), we can use the formula:

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

Substituting the values we have:

\[ \text{Speed} = \frac{\frac{8}{3} \text{ miles}}{\frac{4}{3} \text{ hours}} \]

To divide by a fraction, we can multiply by its reciprocal:

\[ \text{Speed} = \frac{8}{3} \times \frac{3}{4} \]

The \(3\) in the numerator and denominator cancels out:

\[ \text{Speed} = \frac{8}{4} = 2 \text{ miles per hour} \]

Now that we know Jariah walks at a speed of 2 miles per hour, we can determine how far she will walk in 1 hour. Since her speed is 2 miles per hour, in 1 hour she will walk:

\[ \text{Distance} = \text{Speed} \times \text{Time} = 2 \text{ miles per hour} \times 1 \text{ hour} = 2 \text{ miles} \]

Thus, Jariah will walk 2 miles in 1 hour.