If it takes 8 electrician 6 hours to wire a small house, how many electrician working at the same job are needed to wire this same small house in 4 hours?
2/3 the time, so 3/2 the people: 12 electricians
To solve this problem, we can use the concept of "man-hours." Man-hours represent the amount of work that a person can complete in one hour. In this case, we can assume that each electrician can wire the small house at the same rate.
Given that it takes 8 electricians 6 hours to wire the small house, the total man-hours required can be calculated as follows:
Total man-hours = Number of electricians * Number of hours
= 8 electricians * 6 hours
= 48 man-hours
Now, let's determine how many electricians are needed to wire the small house in 4 hours. Since the amount of work required (48 man-hours) remains the same, but the time available has changed, we can calculate the required number of electricians using the formula:
Required number of electricians = Total man-hours / Number of hours
= 48 man-hours / 4 hours
= 12 electricians
Therefore, to wire the small house in 4 hours, you will need 12 electricians working on the job simultaneously.
To find out how many electricians are needed to wire the small house in 4 hours, we can use the concept of man-hours, which states that the amount of work done is proportional to the number of workers and the time they spend.
Let's start by calculating the total man-hours required to wire the small house initially:
8 electricians * 6 hours = 48 man-hours
Now we can determine how many electricians are needed to complete the job in 4 hours. Let's call this number "x."
x electricians * 4 hours = 48 man-hours
To isolate the variable "x," we can divide both sides of the equation by 4:
x = 48 man-hours / 4 hours
Simplifying the equation:
x = 12 electricians
Therefore, 12 electricians are needed to wire the small house in 4 hours.