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The rates of working of two taps A and B are in the ratio 2:3. The ratio of the time taken by A and B respectively to fill a given cistern is 

A. 2 : 3 

B. 3 : 2 

C. 4 : 9 

D. 9 : 4

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We know that number of days taken to work is reciprocal of the rate of the work. 

Rates of working of two taps A and B are in the ratio 2:3

∴ Work done by A: \(\frac{1}{2}\)

Work done by B: \(\frac{1}{3}\)

∴ Ratio of work done is \(\frac{1}{2}:\frac{1}{3}=3:2\)

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