A and B together can do a piece of work in 16 days. B and C together can do the same work in 32 days. C can complete the same work in 80 days. After A has worked for 4 days, B for 12 days, time taken by C to complete the remaining job is x days.
Tap A takes (x - 44) days to fill a tank. Tap B takes (x - 42) days to fill the tank. If both the taps were opened simultaneously, then by the time the tank was full, what fraction of the tank was filled by tap A?

Options

A. `(2)/(5)`
B. `(2)/(3)`
C. `(1)/(5)`
D. `(3)/(5)`

Answer

D