If a worker completes a task in 4 hours, how long will it take 3 workers to comp

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Question: If a worker completes a task in 4 hours, how long will it take 3 workers to complete the same task working together?

Options:

Correct Answer: 2 hours

Solution:

3 workers can complete the task in 4/3 hours, which is 1 hour and 20 minutes, approximately 2 hours.

If a worker completes a task in 4 hours, how long will it take 3 workers to complete the same task working together?

If a worker completes a task in 4 hours, how long will it take 3 workers to complete the same task working together?

Step 1: Understand that 1 worker takes 4 hours to complete the task.
Step 2: Calculate how much of the task 1 worker can complete in 1 hour. Since 1 worker completes the task in 4 hours, in 1 hour, they complete 1/4 of the task.
Step 3: If 3 workers are working together, they will complete 3 times what 1 worker can do in 1 hour. So, in 1 hour, 3 workers complete 3 * (1/4) = 3/4 of the task.
Step 4: Determine how long it takes for 3 workers to complete the entire task. If they complete 3/4 of the task in 1 hour, they will need an additional 1/4 of the task to finish.
Step 5: Since 3 workers complete 3/4 of the task in 1 hour, they will take another 1/4 of the task divided by the rate of 3 workers, which is (1/4) / 3 = 1/12 hours.
Step 6: Add the time taken to complete 3/4 of the task (1 hour) and the time taken to complete the remaining 1/4 of the task (1/12 hours).
Step 7: Convert 1 hour into a fraction with a common denominator: 1 hour = 12/12 hours. So, 12/12 + 1/12 = 13/12 hours.
Step 8: Convert 13/12 hours into hours and minutes. 13/12 hours is 1 hour and 1/12 of an hour. Since 1/12 of an hour is 5 minutes, the total time is 1 hour and 5 minutes.

Work Rate – Understanding how to calculate the combined work rate of multiple workers based on individual work rates.
Unit Conversion – Converting hours into a more understandable format (e.g., minutes) when necessary.