If a person can complete a task in 12 days, how many days will it take for 3 peo

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Question: If a person can complete a task in 12 days, how many days will it take for 3 people to complete the same task working together?

Options:

Correct Answer: 6 days

Solution:

If 1 person takes 12 days, then 3 people will take 12/3 = 4 days.

If a person can complete a task in 12 days, how many days will it take for 3 people to complete the same task working together?

If a person can complete a task in 12 days, how many days will it take for 3 people to complete the same task working together?

Step 1: Understand that 1 person can complete the task in 12 days.
Step 2: Realize that if 1 person takes 12 days, they can complete 1/12 of the task in 1 day.
Step 3: If 3 people are working together, they can complete 3 times as much of the task in 1 day.
Step 4: Calculate how much of the task 3 people can complete in 1 day: 3 people * (1/12 of the task) = 3/12 of the task.
Step 5: Simplify 3/12 to 1/4. This means 3 people can complete 1/4 of the task in 1 day.
Step 6: To find out how many days it takes for 3 people to complete the whole task, take the reciprocal of 1/4, which is 4 days.

Work Rate – Understanding how the work rate of multiple individuals affects the time taken to complete a task.