Final answer:
It would take approximately 2.22 days for 1 worker to finish building the walls with the same working hours. It would take approximately 33.33 days for 15 workers to finish building the walls with the same working hours. It would take approximately 40 days for 15 workers to finish building the walls working 6 hours a day.
Step-by-step explanation:
To find the number of days it would take 1 worker to build the walls with the same working hours, we can use the concept of work rate. The work rate of a group of workers is directly proportional to the number of workers.
Since it takes 20 days for a group of workers to finish building the walls, we can set up the following proportion:
20 days / 9 hours = x days / 1 hour
Simplifying the proportion, we get:
x = (20 days / 9 hours) * 1 hour = 20/9 days
Therefore, it would take approximately 2.22 days for 1 worker to finish building the walls with the same working hours.
To find the number of days it would take 15 workers to finish building the walls with the same working hours, we can use the same concept of work rate.
Since the work rate of a group of workers is directly proportional to the number of workers, we can set up the following proportion:
20 days / 9 hours = x days / 15 hours
Simplifying the proportion, we get:
x = (20 days / 9 hours) * 15 hours = 33.33 days
Therefore, it would take approximately 33.33 days for 15 workers to finish building the walls with the same working hours.
To find the number of days it would take 15 workers to finish building the walls working 6 hours a day, we can again use the concept of work rate. Since the work rate of a group of workers is directly proportional to the number of workers and the number of hours worked, we can set up the following proportion:
20 days / 9 hours = x days / 15 days * 6 hours
Simplifying the proportion, we get:
x = (20 days / 9 hours) * (15 days * 6 hours) = 40 days
Therefore, it would take approximately 40 days for 15 workers to finish building the walls working 6 hours a day.