The picture is a schematic diagram of the tourist route of some scenic spots in a park. B, C, and D are scenic spots, and A and E are the intersections of the roads. The data marked in the picture are

The picture is a schematic diagram of the tourist route of some scenic spots in a park. B, C, and D are scenic spots, and A and E are the intersections of the roads. The data marked in the picture are corresponding

(1) B→E, E→D, D→A three sections: (1.7+0.9+1.4)÷2=2 (hours);

Attraction time is: 0.5×2=1 (hour), 2+1=3 (hour),

The time used for ∴A→B: 3.9-3=0.9 (hour),

p>

The distance between E and D is: 0.9×2=1.8 (kilometer),

Answer: The distance of route A→B (clockwise) is 1.8 kilometers;< /p>

(2) ① When choosing the route A→C→E→B to go in the opposite direction, suppose Xiaojie meets Xiaoli t hours later,

According to the question: 3t+ 2×0.9+2(t-0.5)=1.7+1.8+0.8+0.7,

The solution is: t=0.84,

Because 2×0.9+2(t- 0.5)=2.48 (kilometer)

1.7+1.8=3.5 (kilometer),

2.48<3.5,

So this route is suitable.

②Choose route A→B→E to go in the same direction

Suppose Xiaojie catches up with Xiaoming after t hours,

According to the meaning of the question, we get : 2×0.9+2(t-0.5)=3t

The solution is: t=0.8,

Because 3t=3×0.8=2.4 (kilometer),

p>

1.7+1.8=3.5 (kilometer),

2.4<3.5,

So this route is also suitable.

Because 0.8＜0.84,

So Xiaojie should choose the direction of route A→B→E to catch up with Xiaoli in the same direction, and he can meet Xiaoli in 0.8 hours at the fastest.