A tap A can fill a cistern in $8$ hours while tap B can fill it in $4$ hours. In how much times will the cistern be filled if both A and B are opened together?

According to the combined work formula, if two taps fill a cistern in 8 hours and 4 hours respectively, their combined rate is 1/8 + 1/4 per hour. Adding these fractions gives a total rate of 3/8 of the cistern per hour. To find the total time, we take the reciprocal of the combined rate, which is 8/3 hours. This converts to 2 hours and 40 minutes.

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