a park has 4 hiking trails. Trails A and B go from the lodge to the dock. Trail A is 1/2 mile long, and Trail B is 2/3 mile long. Trails C and D go from the dock to the park entrance. Trail C is 1/4 mile long and trail D is 1/3 mile long. Draw a picture of the possible trails. How long is each possible hike from the lodge to the dock and to the park entrance.
We can't do diagrams in this forum
Possible paths to get from lodge to entrance via dock
AC
AD
BC
BD
I will do one length , you do the others;
BC = 2/3 mile + 1/4 mile
= (8+3)/12
= 11/12 miles
How can i do this problem?
To draw a picture of the possible trails, you can create a map with the lodge, the dock, and the park entrance as three points, and label the four trails connecting them as A, B, C, and D.
Here's a simple representation:
Lodge (start)
\
A - 0.5 miles
/
Dock
\
C - 0.25 miles
/
Park Entrance
B - 0.66 miles
\
D - 0.33 miles
/
Dock
To find out how long each possible hike is from the lodge to the dock and to the park entrance, you need to add up the lengths of the trails involved in each hike.
Hike from the lodge to the dock:
Trail A is 0.5 miles long.
Trail B is 0.66 miles long.
So, the total length of the hike from the lodge to the dock is 0.5 + 0.66 = 1.16 miles.
Hike from the dock to the park entrance:
Trail C is 0.25 miles long.
Trail D is 0.33 miles long.
So, the total length of the hike from the dock to the park entrance is 0.25 + 0.33 = 0.58 miles.