The city is planning to install streetlights and wants five lights
along a walkway of 60 yards. If there is a light at the beginning and at the end of
the walkway and the lights are evenly spaced, what is the distance between each light
x____x____x____x____x
60/4 = ?
is it 15 yards
uh ya
To find the distance between each light, we need to first subtract the distance covered by the two lights at the beginning and end of the walkway from the total walkway distance.
Given:
- Total walkway distance = 60 yards
- There are two lights at the beginning and end of the walkway.
Step 1: Account for the lights at the beginning and end.
Since there are two lights at the beginning and end, we need to subtract the distance covered by these lights from the total walkway distance.
- Assume each light covers the same amount of distance.
- Multiply the distance covered by one light by 2 to account for the lights at both ends.
- Subtract this total distance covered by the lights from the total walkway distance.
Let's say the distance between each light is 'x' yards.
Total distance covered by the lights at the beginning and end = 2x yards.
Remaining distance along the walkway = Total walkway distance - Total distance covered by the lights at the beginning and end.
Remaining distance along the walkway = 60 yards - 2x yards.
Step 2: Divide the remaining distance along the walkway by the number of lights in between the two end lights.
Since we want five lights, there will be four spaces between them.
Distance between each light = Remaining distance along the walkway / Number of lights in between.
Distance between each light = (60 - 2x) yards / 4.
Therefore, the distance between each light is (60 - 2x) / 4 yards.