A group of workers can do a piece of work in 24 days. However, as 7 of them were absent, it took them 30 days, to complete the work. How many people actually worked on the job to complete it?

Question: A group of workers can do a piece of work in 24 days. However, as 7 of them were absent, it took them 30 days, to complete the work. How many people actually worked on the job to complete it?Solution:Let, the total number of people were working originally = x When 7 people were absent, Total present workers were = x - 7x workers can complete it = 24 days. ∴ 1 workers can complete it = 24x days. ∴ (x - 7) workers can complete it = 24x/(x - 7) days.ATQ, 24x/(x - 7) = 30⇒ 4x/(x - 7) = 5⇒ 5x - 35 = 4x ∴ x = 35The total number of people were working originally 35.