Traditional Culture Encyclopedia - Travel guide - As shown in the figure, it is a schematic diagram of the tourist routes of some scenic spots, in which B C D is the scenic spot and A E is the road intersection. The data in the diagram

As shown in the figure, it is a schematic diagram of the tourist routes of some scenic spots, in which B C D is the scenic spot and A E is the road intersection. The data in the diagram

Solution: (1) Let the distance from E to D be x kilometers.

According to the meaning: 0.4× 2+1.7+1.8+x+1.12 = 3.4.

Solution: x=0.6,

The length of Ed is 0.6 kilometers.

(2)① Choose the route A → C → E → B. When walking in opposite directions, suppose Xiaohong meets Xiaoming after t hours.

According to the meaning of the question: 3t+2× 0.8+2 (t-0.4) =1.7+1.8+0.8+0.6,

Solution: t=0.82,

∫2×0.8+2(t-0.4)= 2.44 < 1.7+ 1.8 = 3.5。

This route is suitable.

② Choose route A→B→E and walk in the same direction.

Set Xiaohong to catch up with Xiaoming within t hours.

According to the meaning of the question, it is: 2×0.8+2(t-0.4)=3t.

Solution: t=0.8,

∴3t=2.4< 1.7+ 1.8=3.5,

This route is also suitable.

∵0.8