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 plants, planted 8 m apart.
- What was the distance between the first plant and the 4th plant?
- What was the distance between the eighth plant and the twelfth plant?
- Given that the stretch of road was 208 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
= 24 ÷ 3
= 8
Distance between first and 4th plant
= 4 intervals
= 4 x 8
= 32 m
(b)
Distance between eighth and twelfth plant
= 6 intervals
= 6 x 8
= 48 m
(c)
Distance between 2 lamp posts = 24 m
Number of sets of 24 m
= 208 ÷ 24
= 8 r 16
Number of plants at a distance of 16 m
= 16 ÷ 8
= 2
Number of plants
= 8 x 2 + 2
= 18
Answer(s): (a) 32 m; (b) 48 m; (c) 18