How much time a tank would take to be filled by 3 pipes which diameters are 2 cm 3 cm and 4 cm runni...........

Quantitative Aptitude ( Phase -I) Time and work

How much time a tank would take to be filled by 3 pipes which diameters are 2 cm, 3 cm and 4 cm running together, when the largest pipe alone takes 58 minutes time to fill the tank. [Note:The amount of water flowing in each pipe is proportional to the square of its diameter.]

25 minutes.

30 minutes.

27 minutes.

32 minutes.

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Explanation:

Amount of water from three pipes is 4 units, 9 units and 16 units.
Let the capacity of cistern be ‘p’ units.
p/58 = 16
=> p = 928 units.
In 1 minute, quantity to be filled by 3 pipes = 29 units
Total time required = 928/29 = 32 minutes.