A can do a piece of work in 36 days and B in 54 days. How many days will both take together to complete the work?
Answer & explanation
Correct answer: option 3
Total work = L.C.M. of time taken by individual workers
Efficiency = \(\frac{Total\; work}{No.\; of\; days}\)
Therefore, A : B
No. of days 36 : 54 → L.C.M. = 90
Efficiency 2 : 3 Total= 5
When they work together, efficiency = 5
Say, total work = 90
Thus, No. of days = \(\frac{90}{5}\) = 18