The tourist route of a certain scenic spot is shown in Figure 1, where A is the entrance, B, C, and D are scenic spots, and E is the intersection of the three roads. The numbers given in Figure 1

(1) Solution 1: From Figure 2, it can be seen that A’s walking speed is (km/h)

Therefore, the time A stays in each scenic spot is (h)

Solution 2: The functional relationship between s and t when A walks along A → D is.

Suppose A walks along D → C. The functional relationship between s and t is . but .

∴． ∴．

When , .

Therefore, the time A spends in each scenic spot is (h).

The complete image is as follows:

(2) Solution 1: The total time A walks is (h).

The total distance traveled by ∴A is (km).

∴ The distance between two points C and E is (km).

Solution 2: Suppose A walks along C → E → A. The functional relationship between s and t is . but .

∴． ∴．

At that time, .

∴ The distance between two points C and E is (km).

(3) Their agreement can be realized. The shortest route for B's tour is: A → D → C → E → B → E → A (or A → E → B → E → C → D → A), and the total distance is (km).

∴The total time for B to return to A after visiting three scenic spots is (h).

∴B arrives at location A 6 minutes later than A