# 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

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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 $\frac{1}{2}:\frac{1}{3}=3:2$