Volunteer a plans to finish some work in the community in several working days From the third working day, volunteer B will join in the work, and the work efficiency of both Party A and Party B is the same. As a result, the task will be completed 3 days in advance. The number of days the family plans to complete the work is (Note: from the third working day)

Volunteer a plans to finish some work in the community in several working days From the third working day, volunteer B will join in the work, and the work efficiency of both Party A and Party B is the same. As a result, the task will be completed 3 days in advance. The number of days the family plans to complete the work is (Note: from the third working day)


Suppose that the number of days a plans to complete the work is x days, then the efficiency of a is 1 / x, and the efficiency of B is 1 / X. A works for (x-3) days, and B works for (x-3-2) = (X-5) days
(x-3)/x+(x-5)/x=1
(2x-8)/x=1
2x-8=x
x=8
It is tested that x = 8 is the root of the original equation
A: Party A plans to complete the work in 8 days



For a job, it takes 12 hours for Party A to do it alone and 15 hours for Party B to do it alone. The ratio of work efficiency between Party A and Party B is (), and it takes () hours for Party A and Party B to do it together
The ratio of work efficiency has been calculated, which is 5:4, but I don't know how to calculate it?


The work efficiency should be 4:5, the cooperation time is 2 / (1 / 12 + 1 / 15) = 13.33 hours



For a project, Party A needs 10 hours to complete, and Party B needs 12 hours to complete. What is the time ratio of Party A and Party B to complete the work? What is the efficiency ratio?


The time ratio is 5:6 and the efficiency ratio is 6:5



A project is completed by Party A alone in 5 days and by Party B alone in 7 days. The work efficiency ratio of Party A and Party B is () and the work time ratio is


The work efficiency of a is 1 / 5
The work efficiency of B is 1 / 7
The ratio of work efficiency of Party A and Party B is 1 / 5:1 / 7 = 7:5
The ratio of working hours of Party A and Party B is 5:7 = 5:7