If A, B and C can do a job working alone in 12, 18 and 36 days respectively. They all work together for 2 day, then B quits. How many days will A and C take to finish rest of the job?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 6
Total work = LCM(12, 18, 36) = 36 units
A : (12) -> 3 days to complete 36 units
B : (18) -> 2 days to complete the work
C : (36) -> 1 day to complete the work
Work done by A, B and C in 2 days = 2 × 6 = 12 units
Reamining work = 36 - 12 = 24 units
Time taken by A and C to finish the work = 24/4 = 6 days