Observe the picture and answer the following. (i) Find all the possib

1.	Observe the picture and answer the following. (i) Find all the possible routes from A to D.(ii) Find the shortest distance between E and C. (iii) Find all the possible routes between B and F with distance. Mention the shortest route.
Answer» (i) All possible routes from A to D are : (a) A ➝ G ➝ F ➝ E ➝ D (b) A ➝ G ➝ D (c) A ➝ B ➝ C ➝ D (d) A ➝ B ➝ D (ii) Distance between E and C are (a) Route 1: E ➝ D ➝ C Distance: 120 m + 200 m = 320 m. (b) Route 2: E ➝ D ➝ B ➝ C Distance = 120 + 100 m + 120 m = 340 m. ∴ Shortest distance is 320 m. (iii) All possible routes between B and F are : (a) Route 1: B ➝ A ➝ G ➝ F Distance = 250 m + 100 m + 150 m = 600 m. (b) Route 2: 2 ➝ D ➝ E ➝ F Distance = 100 m + 120 m + 300 m = 520 m. (c) Route 3: B ➝ D ➝ G ➝ F Distance = 100 m + 200 m + 150 m = 450 m. (d) Route 4: B ➝ C ➝ D ➝ E ➝ F Distance = 120 m + 200 m + 120 m + 300 m = 740 m. We find that Route 3 is shortest. i.e. B ➝ D ➝ G ➝ F is the shortest route.

Observe the picture and answer the following. (i) Find all the possible routes from A to D.(ii) Find the shortest distance between E and C. (iii) Find all the possible routes between B and F with distance. Mention the shortest route.

Answer»

(i) All possible routes from A to D are :

(a) A ➝ G ➝ F ➝ E ➝ D

(b) A ➝ G ➝ D

(d) A ➝ B ➝ D

(ii) Distance between E and C are

(a) Route 1: E ➝ D ➝ C

Distance: 120 m + 200 m = 320 m.

(b) Route 2: E ➝ D ➝ B ➝ C

Distance = 120 + 100 m + 120 m = 340 m.

∴ Shortest distance is 320 m.

(iii) All possible routes between B and F are :

(a) Route 1: B ➝ A ➝ G ➝ F

Distance = 250 m + 100 m + 150 m = 600 m.

(b) Route 2: 2 ➝ D ➝ E ➝ F

Distance = 100 m + 120 m + 300 m = 520 m.

Distance = 100 m + 200 m + 150 m = 450 m.

(d) Route 4: B ➝ C ➝ D ➝ E ➝ F

Distance = 120 m + 200 m + 120 m + 300 m = 740 m.

We find that Route 3 is shortest.

i.e. B ➝ D ➝ G ➝ F is the shortest route.