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 bushes, planted 8 m apart.
- What was the distance between the first bush and the 4th bush?
- What was the distance between the fourth bush and the twelfth bush?
- Given that the stretch of road was 136 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
= 24 ÷ 3
= 8
Distance between first and 4th bush
= 4 intervals
= 4 x 8
= 32 m
(b)
Distance between fourth and twelfth bush
= 12 intervals
= 12 x 8
= 96 m
(c)
Distance between 2 lamp posts = 24 m
Number of sets of 24 m
= 136 ÷ 24
= 5 r 16
Number of bushes at a distance of 16 m
= 16 ÷ 8
= 2
Number of bushes
= 5 x 2 + 2
= 12
Answer(s): (a) 32 m; (b) 96 m; (c) 12