Question : A can do a job in 36 days and B in 12 days. If they work together, in how many days will they be able to do the work?
Option 1: 8
Option 2: 6
Option 3: 10
Option 4: 9
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Correct Answer: 9
Solution :
Given: A's work in a day is $\frac{1}{36}$ unit.
B works in one day is $\frac{1}{12}$ unit.
Together, A and B's work in a day = $(\frac{1}{36}+\frac{1}{12})= (\frac{1+3}{36})=\frac{4}{36}=\frac{1}{9}$ unit.
Together, A and B can complete the work in $\frac{1}{\frac{1}{9}}$ = 9 days.
Hence, the correct answer is 9.
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