THE EXPRESSION 1/2D + 1/2E IS USED AS A GENERAL GUIDE TO DETERMINE HOW MUCH TIME, IN HOURS, A HIKER SHOULD ALLOW FOR HIKING A TRAIL WITH A DISTANCE OF D MILES AND AN ELEVATION GAIN OF E THOUSAND FEET. HOW MUCH TIME SHOULD A HIKER ALLOW FOR HIKING A TRAIL THAT IS 5 MILES LONG WITH AN ELEVATION OF 1000 FEET?

To determine the amount of time a hiker should allow for hiking the trail, you can use the expression provided:

\[
\text{Time} = \frac{1}{2}D + \frac{1}{2}E
\]

where:
- \( D \) is the distance in miles,
- \( E \) is the elevation gain in thousand feet.

Given:
- \( D = 5 \) miles,
- \( E = 1000 \) feet = 1 thousand feet.

Now substitute these values into the formula:

\[
\text{Time} = \frac{1}{2}(5) + \frac{1}{2}(1)
\]

Calculate each term:

\[
\frac{1}{2}(5) = 2.5
\]

\[
\frac{1}{2}(1) = 0.5
\]

Now, add the two results:

\[
\text{Time} = 2.5 + 0.5 = 3 \text{ hours}
\]

So, the hiker should allow **3 hours** for hiking the trail.

Would you like more details or have any questions about this? Here are some related questions you might find interesting:

1. How does the time calculation change if the elevation gain is 2000 feet?
2. What if the trail is 8 miles long with an elevation gain of 1500 feet?
3. How does elevation affect hiking time compared to distance?
4. Can this formula be applied to more extreme conditions, such as steep or rough terrain?
5. How accurate is this formula in real-life hiking situations?

**Tip:** When planning a hike, always consider additional factors such as weather, trail conditions, and your own fitness level, which might affect the actual time needed.

Learn how to calculate hiking time using the formula 1/2D + 1/2E for a trail that is 5 miles long with an elevation gain of 1000 feet. Understand the steps involved in this time calculation problem, suitable for students in Grades 6-8.

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