A can finish 37
2
1
​
% (or
8
3
​
) of a task in 6 days and B can finish 66
3
2
​
% (or
3
2
​
) of the same task in 12 days. A and B worked together for 5 days. C alone completed the remaining task in 8 days. B and C, working together, will complete the same task in:

Let the total task be 60 units.
Efficiency of A = 5.2 units/day

Efficiency of B = 2 units/day

Work done by A and B together in 5 days:

Work done=(5.2+2)×5=7.2×5=36 units
Remaining work:

Remaining work=60−36=24 units
C completes this remaining work in 8 days:

Efficiency of C=
8
24
​
=3 units/day
Now, efficiency of B and C working together:

Combined Efficiency=2+3=5 units/day
Time taken by B and C together to complete the task:

Time=
5
60
​
=12 days