Question

a and b working day 12, B and C working day 16, C and A Working day 24 ,so c how many days work completed for the days

Answer 1

C will take 96 days alone to do the work.

Step-by-step explanation:

given,

A and B work for 12 days...................(1)

B and C work for 16 days...................(2)

C and A work for 24 days...................(3)

Adding equation (1) and (2)

`A + 2 B + C = (1)/(12)+(1)/(16)\\2 B + (1)/(24)=(1)/(12)+(1)/(16)\\2B =(1)/(12)+(1)/(16)-(1)/(24)\\B=(5)/(96)`

from equation (2)

`B+C = (1)/(16)\\(5)/(96)+C = (1)/(16)\\C=(1)/(16)-(5)/(96)\\C=(1)/(96)`

hence, C will take 96 days alone to do the work.