Some lamp posts were located at an equal distance of 8 m apart from one another, starting from the beginning of the road.
- What was the distance between the first lamp post and the third lamp post?
- What was the distance between the third lamp post and the thirteenth lamp post?
- Given that the stretch of road was 600 m, how many lamp posts were there from the beginning to the end of the road?
(a)
Number of intervals between the first lamp post and the third lamp post
= 3 - 1
= 2
Distance between the first lamp post and the third lamp post
= 2 x 8
= 16 m
(b)
Number of intervals between the third lamp post and the thirteenth lamp post
= 13 - 3
= 10
Distance between the third lamp post and the thirteenth lamp post
= 10 x 8
= 80 m
(c)
Number of lamp posts for 600 m excluding the first lamp post
= 600 ÷ 8
= 75
Total number of lamp posts from the beginning to the end of the road
= 75 + 1
= 76
Answer(s): (a) 16 m; (b) 80 m; (c) 76