Lamp posts were located at an equal distance of 18 m apart from one another, starting from the beginning of the road. Between every 2 lamp posts, there were 2 trees, planted 6 m apart.
- What was the distance between the first tree and the fourth tree?
- What was the distance between the eighth tree and the fourteenth tree?
- Given that the stretch of road was 108 m, how many trees were there?
Lamp post ↔ tree ↔ tree ↔ Lamp post ↔ tree ↔ tree ↔ Lamp post ↔ tree ↔ tree ↔ Lamp post
(a)
Length of each gap
= 18 ÷ 3
= 6
Distance between first and fourth tree
= 4 intervals
= 4 x 6
= 24 m
(b)
Distance between eighth and fourteenth tree
= 9 intervals
= 9 x 6
= 54 m
(c)
Distance between 2 lamp posts = 18 m
Number of sets of 18 m
= 108 ÷ 18
= 6
Number of trees
= 6 x 2
= 12
Answer(s): (a) 24 m; (b) 54 m; (c) 12