Using Physics Equations To Find The Time That A Black Hole Sucks In A Specific Mass

hydrostar905

1. The problem statement, all variables and given/known data
A crazy scientist creates a black hole with a mass of 1 kilogram. The black hole gets lost, as it shifts to the center then oscillates. Assume that the earth is all water with the same density and the same temperature of 4 degrees celsius. With the black hole moving at a speed of 30 meters per second constantly, how much time does it take for the black hole to suck in 10 kg of mass?


2. Relevant equations
Schwartzchild radius
(any others?)


3. The attempt at a solution
I got the schwarzschild radius of 120,060 kilograms. I also found that 1 kilogram is equal to 5.03 x 10^(-31) solar masses. I'm not sure where to go after getting the schwarzschild radius and solar mass, however, plus I'm puzzled about how the "earth being all water" is put into the problem using mathematics. This is an important grade for my college, class, however, so any help is GREATLY appreciated!

Thank you!