Which rate can you set StartFraction 30 miles Over 1 hour EndFraction equal to in order to find the time it takes to travel 900 miles at 30 miles per hour?

StartFraction question mark hours Over 900 miles EndFraction
StartFraction question mark hours Over 30 miles EndFraction
StartFraction 30 miles Over question mark hours EndFraction
StartFraction 900 miles Over question mark hours EndFraction

1 answer

To find the time it takes to travel 900 miles at a speed of 30 miles per hour, you can use the formula:

\[ \text{time} = \frac{\text{distance}}{\text{speed}} \]

Here, the distance is 900 miles and the speed is 30 miles per hour, so the time can be calculated as:

\[ \text{time} = \frac{900 \text{ miles}}{30 \text{ miles per hour}} = 30 \text{ hours} \]

Now, to find a rate that can be set equal to \(\frac{30 \text{ miles}}{1 \text{ hour}}\) in order to express this scenario, we can set it equal to \(\frac{900 \text{ miles}}{\text{question mark hours}}\).

So, the correct rate to set is:

\[ \frac{900 \text{ miles}}{\text{question mark hours}} \]

Thus, the answer is:

\(\frac{900 \text{ miles}}{\text{question mark hours}}\)