Question : A alone can do a work in 4 days, which B alone can do in 6 days. In how many days they together can do it?
Option 1: $\frac{7}{12}$
Option 2: $\frac{12}{7}$
Option 3: $\frac{12}{5}$
Option 4: $\frac{5}{12}$
Correct Answer: $\frac{12}{5}$
Solution :
Given: A alone can do a work in 4 days.
B alone can do it in 6 days.
They together in 1 day can do ($\frac{1}{4}+\frac{1}{6}$) part of the work
$=\frac{6+4}{24}=\frac{10}{24}=\frac{5}{12}$ part of the work
So, they together can complete the work in $\frac{12}{5}$ days.
Hence, the correct answer is $\frac{12}{5}$.
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