To find out how many hours it would take for the falcon to fly 52,800 feet at a constant speed of 68 mph, we need to ensure that the units are consistent.
First, we need to convert the distance from feet to miles since the speed is given in miles per hour.
1 mile = 5280 feet
We can convert 52,800 feet to miles:
\[ \text{Miles} = \frac{52800 \text{ feet}}{5280 \text{ feet/mile}} = 10 \text{ miles} \]
Now that we have the distance in miles, we will use the formula for time, which is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
Using our values:
\[ \text{Time} = \frac{10 \text{ miles}}{68 \text{ mph}} \approx 0.147 \text{ hours} \]
To verify the units, we see that we are dividing miles by miles per hour:
\[ \text{Time} = \text{miles} \div \left(\frac{\text{miles}}{\text{hours}}\right) \implies \text{Time} = \text{hours} \]
The process of ensuring the units are consistent shows that we need to deal with the hour unit since it corresponds with the speed of the falcon.
Therefore, the correct answer is:
Option #3: hours
1 answer