Correct option is D
Given:
A can complete the work in 16 days.
B can complete the work in 12 days.
A, B, and C together complete the work in 4 days.
Formula Used:
Work done per day=Total days taken1
Efficiency of C=Total efficiency−(Efficiency of A+Efficiency of B)
Solution:
Work done by A in 1 day = 161
Work done by B in 1 day =121
Work done by A, B, and C together in 1 day =41
41=161+121+C1
C1=41−161−121=4812−3−4=485
C=548 days
Option (D) is right.
Alternate Method:
Efficiency of C= 12 - 4 - 3 = 5
Time taken by C=548 days
Option (D) is right.