A Straight Highway Is 100 Miles Long
A straight highway is 100 miles long, and each mile is marked by a milepost numbered from 0 to 100. A rest area is going to be built along the highway exactly 6 miles away from milepost 50. Where are the possible locations for the rest area?
The answer is mileposts 44 and 56.
To solve this problem, we can use the following equation:
|x - 50| = 6 where x is the milepost number of the rest area.
Solving for x, we get:
x = 50 ± 6 x = 44 or x = 56 Therefore, the possible locations for the rest area are mileposts 44 and 56.
Here are some other questions related to this problem:
- What if the rest area is going to be built 5 miles away from milepost 50?
In this case, the equation would be:
|x - 50| = 5 Solving for x, we get:
x = 45 or x = 55 Therefore, the possible locations for the rest area are mileposts 45 and 55.
- What if the rest area is going to be built 10 miles away from milepost 50?
In this case, the equation would be:
|x - 50| = 10 Solving for x, we get:
x = 40 or x = 60 Therefore, the possible locations for the rest area are mileposts 40 and 60.
This problem can be generalized to any length of highway and any distance between the rest area and another milepost.
