How fast do you have to drive at a constant speed (in miles per hour) so you can make it at 11:25am to a location 94 miles away, if you leave at 10:05am? Round up your answer to whole number.

To determine how fast you need to drive to cover 94 miles in the given time, we first need to calculate the time available for the trip and then find the required speed.

### Step 1: Calculate the Time Available for the Trip

You are leaving at 10:05 am and need to arrive by 11:25 am.

- **Start time:** 10:05 am
- **End time:** 11:25 am

To find the time difference:
- From 10:05 am to 11:05 am is 1 hour.
- From 11:05 am to 11:25 am is 20 minutes.

So, the total time available is **1 hour and 20 minutes**.

To convert this to hours, remember that 20 minutes is \(\frac{20}{60} = \frac{1}{3}\) hour.

Thus, the total time available is:
\[
1 + \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{4}{3} \text{ hours}
\]

### Step 2: Calculate the Required Speed

Now, we use the formula for speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

Here, the distance is 94 miles and the time is \(\frac{4}{3}\) hours.

So, the speed required is:
\[
\text{Speed} = \frac{94}{\frac{4}{3}} = 94 \times \frac{3}{4} = 70.5 \text{ miles per hour}
\]

### Step 3: Round Up the Speed

Since you can't drive a fraction of a mile per hour when following speed limits, and you need to ensure you arrive on time, we round up to the next whole number:
\[
\text{Required Speed} = 71 \text{ miles per hour}
\]

### Conclusion

You need to drive at a **constant speed of 71 miles per hour** to make it to the location by 11:25 am.

---

Would you like further details or have any questions about this calculation?

Here are some related questions you might find interesting:
1. How would the speed change if the distance were 120 miles?
2. What if you could only drive at 65 miles per hour; how early would you have to leave?
3. How would the time change if you were driving at 80 miles per hour?
4. What is the formula for calculating speed if the time is given in hours and minutes separately?
5. How does rounding affect the accuracy of travel estimates in real-life scenarios?

**Tip:** When calculating speeds for travel, always consider rounding up to ensure timely arrival, especially when exact times are crucial!

Learn how to calculate the required speed to cover a distance of 94 miles and reach your destination by 11:25 am starting at 10:05 am. This problem involves speed, distance, and time calculations with a detailed step-by-step solution. Suitable for Grades 7-9.

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