To solve this problem, we will start by finding the rate at which the builders work.
Given:
- It takes 4 builders 5 hours to build 1 wall.
This means collectively, they have 4 builders x 5 hours of work to build 1 wall, which is a total of 20 builder-hours per wall.
Now, we are asked to find the number of builders required to build 3 walls in 2 hours.
First, let's calculate the total number of builder-hours needed to build 3 walls:
- 1 wall = 20 builder-hours
- 3 walls = 20 builder-hours/wall x 3 walls = 60 builder-hours
We need to accomplish these 60 builder-hours of work in 2 hours.
To find the number of builders (B) required to achieve 60 builder-hours in 2 hours, we use the formula:
Total builder-hours needed = Number of builders x Number of hours
We have:
60 builder-hours = B builders x 2 hours
To find B, we divide both sides of the equation by 2 hours:
B builders = 60 builder-hours / 2 hours
B builders = 30 builders
Therefore, we would need 30 builders to build 3 standard-sized walls in 2 hours, assuming each builder works at the same rate as the originals.
