Lamp posts were located at an equal distance of 12 m apart from one another, starting from the beginning of the road. Between every 2 lamp posts, there were 2 bushes, planted 4 m apart.
- What was the distance between the first bush and the 6th bush?
- What was the distance between the fourth bush and the fourteenth bush?
- Given that the stretch of road was 112 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
= 12 ÷ 3
= 4
Distance between first and 6th bush
= 7 intervals
= 7 x 4
= 28 m
(b)
Distance between fourth and fourteenth bush
= 15 intervals
= 15 x 4
= 60 m
(c)
Distance between 2 lamp posts = 12 m
Number of sets of 12 m
= 112 ÷ 12
= 9 r 4
Number of bushes at a distance of 4 m
= 4 ÷ 4
= 1
Number of bushes
= 9 x 2 + 1
= 19
Answer(s): (a) 28 m; (b) 60 m; (c) 19