Lamp posts were located at an equal distance of 24 m apart from one another, starting from the beginning of the road. Between every 2 lamp posts, there were 2 trees, planted 8 m apart.
- What was the distance between the first tree and the 4th tree?
- What was the distance between the eighth tree and the fourteenth tree?
- Given that the stretch of road was 232 m, how many trees were there?
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Lamp post ↔ tree ↔ tree ↔ Lamp post ↔ tree ↔ tree ↔ Lamp post ↔ tree ↔ tree ↔ Lamp post
(a)
Length of each gap
= 24 ÷ 3
= 8
Distance between first and 4th tree
= 4 intervals
= 4 x 8
= 32 m
(b)
Distance between eighth and fourteenth tree
= 9 intervals
= 9 x 8
= 72 m
(c)
Distance between 2 lamp posts = 24 m
Number of sets of 24 m
= 232 ÷ 24
= 9 r 16
Number of trees at a distance of 16 m
= 16 ÷ 8
= 2
Number of trees
= 9 x 2 + 2
= 20
Answer(s): (a) 32 m; (b) 72 m; (c) 20