A vineyard owner hires 25 people to harvest grapes. The vineyard covers 30 acres. The harvest takes 9 days to complete. A neighb
our has a vineyard measuring 20 acres and needs his harvest finished in 5 days. Assuming all people work at the same rate, how many people should he hire? Please show working out.
In the first vineyard, it needs 25 people working for 9 days to finish 30 acres of vineyard. Using this information you can determine the worker speed. The number of worker and days were given will increase the speed, but the area of the vineyard will decrease it. The calculation would be:
Worker speed= worker number * times given / vineyard area Worker speed= 25 people * 9 days / 30 acres = 7.5 people days /acres
Applying the same calculation into the second vineyard would be: Worker speed= worker number * times given / vineyard area 7.5 people days /acres = worker number * 5 days / 20 acres Worker number= (7.5 people days /acres ) / 5 days x 20 acres= 30 people
