How many miles will you have traveled after ¾ of the total time of the journey?

To find out how many miles you would have traveled after ¾ of the total time of the journey, let's break it down:

1. **Total time of the journey**: 4 hours
2. **¾ of the total time**: \( \frac{3}{4} \times 4 = 3 \) hours

Now, we need to determine the distance traveled in the first 3 hours:

- In the first 2 hours, the helicopter covers 250 miles.
- The remaining hour is part of the next 2-hour segment, where the helicopter covers 125 miles in 2 hours.

To find out how far the helicopter travels in 1 hour of the second segment:

\[
\text{Speed during the last segment} = \frac{125 \text{ miles}}{2 \text{ hours}} = 62.5 \text{ miles per hour}
\]

Thus, in the 3rd hour:

\[
\text{Distance in the 3rd hour} = 62.5 \text{ miles}
\]

**Total distance after 3 hours**:

\[
\text{Total distance} = 250 \text{ miles} + 62.5 \text{ miles} = 312.5 \text{ miles}
\]

After ¾ of the total time, you will have traveled **312.5 miles**.

Would you like more details or have any questions? Here are some related questions:

1. How far would you travel after ½ of the total time?
2. What is the average speed during the first 3 hours?
3. If the helicopter continues at the same speed as in the 3rd hour, how far will it travel in the 5th hour?
4. What fraction of the total distance is covered in the first 3 hours?
5. How much time would it take to cover 400 miles at the average speed of the first 3 hours?

**Tip:** To find the distance traveled in a fraction of the total time, break down the journey into segments and calculate the distance for each segment.

Learn how to calculate the distance traveled after ¾ of the total time of a journey using time, speed, and distance formulas. This problem involves breaking down the journey into segments and calculating distances for each segment. Suitable for students in Grades 6-8.

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