Question : The rates of work of A and B are in the ratio of 2 : 3. The number of days taken by each of them to finish the work is in the ratio:
Option 1: 2 : 3
Option 2: 4 : 9
Option 3: 3 : 2
Option 4: 9 : 4
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Correct Answer: 3 : 2
Solution :
The rates of work of A and B are in the ratio of 2 : 3.
Time taken is inversely proportional to efficiency.
Therefore, ratio of time taken by A and B = $\frac{1}{2}$ : $\frac{1}{3}$ = 3 : 2
Hence, the correct answer is 3 : 2.
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