There are three taps of diameter 2 cm 2 \text{ cm} 2 cm , 3 cm 3 \text{ cm} 3 cm , and 4 cm 4 \text{ cm} 4 cm , respectively. The ratio of the water f...
Question
There are three taps of diameter , , and , respectively. The ratio of the water flowing through them is equal to the ratio of the square of their diameters. The biggest tap can fill an empty tank alone in $81$ minutes. If all the taps are opened simultaneously, then how long will the tank take (in minutes) to be filled?