A, B, C together finish a job in 8 days. A and B together take 12 days, while B and C together take 16 days. In how many days can C alone finish the job?
Show answer & explanation
Correct answer: C
Explanation
A + B + C = 8 days
A + B = 12 days
B + C = 16 days
Rate of A + B + C = 1/8
Rate of A + B = 1/12
Rate of C = (A + B + C) − (A + B)
= 1/8 − 1/12
= (3 − 2) / 24
= 1/24
Therefore, C working alone will take = 24 days