A, B, and C working alone, can complete a job in 16, 24, and 36 days, respectively. In how many days can they complete the job if they work together?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 7.
A can complete a job = 16 days
B can complete a job = 24 days
C can complete a job = 36 days
Total work = LCM of 16, 24, and 36 = 144 unit
Efficiency = Total work/Total days
The efficiency of A = 144/16 = 9 unit per day
The efficiency of B = 144/24 = 6 unit per day
The efficiency of C = 144/36 = 4 unit per day
A, B, and C can complete the work together = 144/(9 + 6 + 4) = 144/19 = 7 days