As always, we're going to ignore air resistance, and treat the question purely with
the math of free fall under the influence of gravity near the earth's surface.
The general equation for the free fall distance in time 'T' is: D=1/2 G T2 .
In this case, D=1 inch or 1/12th foot. 'G' is the acceleration of gravity = 32.2 ft/sec2 .
1/12 = 1/2 (32.2) T2
T2 = 1/(6 x 32.2) = 1/193.2
T = 71.9 milliseconds (rounded)
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1/4 inch per foot.
Since one foot is 12 inches a four percent slope is .04X12 = 0.48 inch drop
One psi (pounds per square inch) is 27.7 inches of water. An inch of water is a unit of pressure which will raise water one inch. A cubic inch of water weighs 0.0361 pounds, so one psi is one over 0.0361 or 27.7 inches of water.
30.55 gallons (rounded) for every inch the water in the tub is deep.
One eighth inch drop per foot of run.