Question : Abraham can complete a work in 9 days, while Andrew can complete the same work in 6 days. In how many days can they complete the work if they work together?
Option 1: $2$
Option 2: $3 \frac{3}{5}$
Option 3: $2 \frac{3}{5}$
Option 4: $3$
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Correct Answer: $3 \frac{3}{5}$
Solution : Time taken by Abraham to complete work = 9 days Time taken by Andrew to complete the same work = 6 days Efficiency of Abraham = $\frac{1}9$ Efficiency of Andrew = $\frac{1}6$ $\therefore$ Efficiency if both worked together = $\frac{1}9+\frac{1}6 =\frac{5}{18}$ So, the total time taken = $\frac{18}5$. Hence, the correct answer is $3\frac{3}{5}$.
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