Lamp posts were located at an equal distance of 6 m apart from one another, starting from the beginning of the road. Between every 2 lamp posts, there were 2 bushes, planted 2 m apart.
- What was the distance between the first bush and the 4th bush?
- What was the distance between the fourth bush and the eighth bush?
- Given that the stretch of road was 64 m, how many bushes were there?
![]()
Lamp post ↔ bush ↔ bush ↔ Lamp post ↔ bush ↔ bush ↔ Lamp post ↔ bush ↔ bush ↔ Lamp post
(a)
Length of each gap
= 6 ÷ 3
= 2
Distance between first and 4th bush
= 4 intervals
= 4 x 2
= 8 m
(b)
Distance between fourth and eighth bush
= 6 intervals
= 6 x 2
= 12 m
(c)
Distance between 2 lamp posts = 6 m
Number of sets of 6 m
= 64 ÷ 6
= 10 r 4
Number of bushes at a distance of 4 m
= 4 ÷ 2
= 2
Number of bushes
= 10 x 2 + 2
= 22
Answer(s): (a) 8 m; (b) 12 m; (c) 22