Question

The blue lake trail is 11 3/8 miles long. Gemma has hiked 2 1/2 miles each hour for 3 hours. How far is she from the end of the trail?

Answer 1

After hiking for 3 hours at a speed of 2 1/2 miles per hour, Gemma has covered 7 1/2 miles of the Blue Lake trail, which is 11 3/8 miles long. Therefore, she is 3 7/8 miles from the end of the trail.

Step-by-step explanation:

The question asks how far Gemma is from the end of the trail after hiking for 3 hours at a speed of 2 1/2 miles each hour on the Blue Lake trail, which is 11 3/8 miles long.

To find out how far Gemma has hiked, we multiply the number of hours hiked by the speed per hour:

2 1/2 miles/hour × 3 hours = 7 1/2 miles

Next, to find out how far she is from the end of the trail, we subtract the distance she has hiked from the total length of the trail:

11 3/8 miles - 7 1/2 miles = 3 7/8 miles

So, Gemma is 3 7/8 miles from the end of the Blue Lake trail.

Answer 2

In the question it is given that the length of the blue lake trail is 11 3/8 miles. In the question it is also given that Gemma has hiked for a total time of 3 hours and each hour she has hiked 2 1/2 miles.
Now coming to solving the problem we get:
Total length of blue lake trail = 11 3/8 miles
= 91/8 miles
Distance hiked by Gemma in 1 hour = 2 1/2 miles
= 5/2 miles
Then the total distance hiked by Gemma in 3 hours = (5/2) * 3
= 15/2 miles
The distance left to cover the full trail = (91/8) - (15/2) miles
= (91 - 60)/8 miles
= 31/8 miles
= 3 7/8 miles.
So Gemma is 31/8 miles or 3 7/8 miles from the end of the trail.