X, Y and Z can do a work in 24 days, 5 days and 12 days, respectively. In how many days can they do the same work if they work together?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. days.
Total work = 120 (LCM of 24, 5, and 12)
Efficiency of X = 120/24 = 5
Efficiency of Y = 120/5 = 24
Efficiency of Z = 120/12 = 10
Total efficiency = 5 + 24 + 10 = 39
Time required for X, Y, and Z = 120/39 = days
Therefore, they can complete the work in days.