For a project, Party A and Party B cooperate to complete five sixths of the project in six days. If they do it alone, it will take party a one-third of the time to complete and Party B one-half of the time to complete

For a project, Party A and Party B cooperate to complete five sixths of the project in six days. If they do it alone, it will take party a one-third of the time to complete and Party B one-half of the time to complete

Does it take the same time for Party A to complete one-third and Party B to complete one-half?
If so, the efficiency ratio of Party A and Party B is: (1 / 3): (1 / 2) = 2:3
Party A and Party B cooperate to complete 5 / 6 in 6 days
It takes 6 △ 5 / 6 = 7.2 days to complete the cooperation
Let the efficiency of a be 2x, then the efficiency of B be 3x, then 1 / (2x + 3x) = 7.2
x=1/36
Therefore, a alone needs 1 △ 2 × 1 / 36 = 18 days to complete
Party B alone needs 1 ÷ (3 × 1 / 36) = 12 days to complete
Is it for this?