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: $3$
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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