Final answer:
The question asks to calculate the time required for a semi-solid waste storage basin to be emptied to a certain percent given its volume, current state, the density of the material, and the removal rate. Mathematics is used to perform the necessary calculations by determining the initial and final quantities of the material and the time needed for the removal of the material at a constant rate.
Step-by-step explanation:
The question involves solving a problem related to solids processing and the rate of material removal from a storage basin. Given the volume of the semi-solid waste storage and the density of the semi-solid, we can calculate the initial and target mass of the semi-solid in the tank. With the daily removal rate of 5091.7 kg/day, we can determine how long it will take to reach the desired percentage empty.
Firstly, we calculate the initial mass when the basin is 58% empty. Then, by targeting an 85% emptied state, we calculate the mass that needs to be removed and subsequently determine the number of days required. To re-estimate the time to empty the tank when starting at 22% fullness, we follow a similar process. However, in this case, we calculate the time to completely empty the tank.