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

Answer:

C will take 96 days alone to do the work.

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)

$A + 2 B + C = \dfrac{1}{12}+\dfrac{1}{16}\\2 B + \dfrac{1}{24}=\dfrac{1}{12}+\dfrac{1}{16}\\2B =\dfrac{1}{12}+\dfrac{1}{16}-\dfrac{1}{24}\\B=\dfrac{5}{96}$

from equation (2)

$B+C = \dfrac{1}{16}\\\dfrac{5}{96}+C = \dfrac{1}{16}\\C=\dfrac{1}{16}-\dfrac{5}{96}\\C=\dfrac{1}{96}$

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