A can complete a job in 16 days. B can complete the same job in 12 days. With C's help, they completed the job in 4 days. In how many days can C alone complete the job?
A
6 1/2 days
B
7 1/2 days
C
8 3/5 days
D
9 3/5 days
Correct Option:
D
Explanation
A's rate = 1/16, B's = 1/12. Together with C, they finish in 4 days, so the total rate = 1/4.
C=1/4-1/16-1/12
=5/48.
Thus, C alone needs 48/5=9.6=9 3/5 days.
