A and B can complete a job in the 24 days working together. A alone can complete it in 32 days. Both of them worked together for 8 days and then A left. The number of days B will take to complete the remaining job is

Let B will take N days to complete the remaining job.
According to the question
(1/A) + (1/B) = 1/24 and 1/A = 1/32
∴ 1/B = (1/24) - (1/32) = 1/96
⇒ B = 96 days
According to the question,
8[(1/A) + (1/B)] + N x (1/B) = 1
⇒ 8 x (1/24) + (N/96) = 1
⇒ (1/3) + (N/96) = 1
⇒ N/96 = 1 -1/3
∴ N = (2 x 96)/3 = 64
Hence, B complete the remaining job in 64 days