Respuesta :
Answer:
350 hours
Step-by-step explanation:
You would do 700÷2 because it is half the time of the 6 workers who took 700 hours.
12 workers will take 350 hours to complete that same project.
Given that:
- 6 workers take 700 hour to complete a project.
To find:
Number of hours 12 workers would take to complete that same project.
Calculations and explanation:
As the number of workers increases, the amount of hours taken to complete the task will decrease as there'd be more people so more help so less time will be taken overall.
Let each worker's capacity of completing the task be x
Let total capacity the project needs be y.
Then if 6 workers are working taking 700 hours to complete that task, that means:
[tex]6 \times x \times 700 = y\\4200 = \dfrac{y}{x}[/tex]
Now if 12 workers are working, then let they take h hours then:
[tex]12 \times x \times h = y\\12 \times h = \dfrac{y}{x}[/tex]
Using value from first equation and putting in second one, we get:
[tex]12 \tiimes h = 4200\\\\h = \dfrac{4200}{12}\\\\h = 350 \: \rm hours[/tex]
Thus, 12 workers will take 350 hours to complete the same project.
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