Question : A alone can complete a work in 25 days and B alone can complete the same work in 50 days. If both of them work together, then in 9 days what percentage work of the total work will be completed?
Option 1: 49%
Option 2: 60%
Option 3: 45%
Option 4: 54%
Correct Answer: 54%
Solution :
Let the total work be 50 units (LCM of 25 and 50).
Now, the efficiency of A = $\frac{50}{25}$ = 2
and the efficiency of B = $\frac{50}{50}$ = 1
So, A and B together in 1 day can do (2 + 1) = 3 units of work
$\therefore$ In 9 days they will do (3 × 9) = 27 units of work.
So, the required percentage = $\frac{27}{50}$ × 100 = 54%
Hence, the correct answer is 54%.
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