Question : A can do work in 12 days and B in 24 days. If they work together, in how many days will they finish the work?
Option 1: 12 days
Option 2: 20 days
Option 3: 15 days
Option 4: 8 days
Correct Answer: 8 days
Solution :
Given: A can do work in 12 days and B in 24 days.
Total work = LCM of (12, 24) = 24 units
Efficiency of A = $\frac{24}{12}$ = 2 units/day
Efficiency of B = $\frac{24}{24}$ = 1 units/day
Total efficiency of A and B = 2 + 1 = 3 units/day
Required time, if they work together = $\frac{24}{3}$ = 8 days
Hence, the correct answer is 8 days.
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