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 plants, planted 2 m apart.
- What was the distance between the first plant and the 4th plant?
- What was the distance between the fourth plant and the twelfth plant?
- Given that the stretch of road was 52 m, how many plants were there?
Lamp post ↔ plant ↔ plant ↔ Lamp post ↔ plant ↔ plant ↔ Lamp post ↔ plant ↔ plant ↔ Lamp post
(a)
Length of each gap
= 6 ÷ 3
= 2
Distance between first and 4th plant
= 4 intervals
= 4 x 2
= 8 m
(b)
Distance between fourth and twelfth plant
= 12 intervals
= 12 x 2
= 24 m
(c)
Distance between 2 lamp posts = 6 m
Number of sets of 6 m
= 52 ÷ 6
= 8 r 4
Number of plants at a distance of 4 m
= 4 ÷ 2
= 2
Number of plants
= 8 x 2 + 2
= 18
Answer(s): (a) 8 m; (b) 24 m; (c) 18