Latest Interview Aptitude Question SOLUTION: Linda wants to drain the water out of an open top 55 gallon rain barrel. She has the choice of using either a 2-inch diameter hose, two 1-inch diameter hoses or 4 1/2 inch diameter

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(#M40166301) INTERVIEW Numerical Ability question Drain the barrell Keep an EYE

Linda wants to drain the water out of an open top 55 gallon rain barrel. She has the choice of using either a 2-inch diameter hose, two 1-inch diameter hoses or 4 1/2 inch diameter hoses.
Which hose size will drain the barrel faster? Will they drain equally as fast?

Asked In Interview Curtis Huff (4 years ago)

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Read Solution (1) :

Devendra Marghade  (4 years ago)

Foe the constant velocity, flow rate scales with r² (the area).
1st case: 1 Pipe with D=2" or r=1", so Flow is proportional to 1² = 1 units
2nd case: 2 Pipe with D=1" or r=1/2", so Flow is proportional to (1/2)²+(1/2)² = 1/2 units
3rd case: 1 Pipe with D=9/2" or r=9/4", so Flow is proportional to (9/4)² = 81/16 units.
So, ratio of draining under above 3 cases respectively = 1 : 1/2 : 81/16 = 16 : 8 : 81
Therefore, with faster rate, 4½ inch diameter hose will drain the barrel faster.

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