The question appears to involve calculating the velocities or flow rates at different points in a fluid system, likely using the principles of fluid dynamics (such as the continuity equation). Without the specific details of the problem (like cross-sectional areas or other parameters), I can only guide on how to approach it: **General approach:** - The continuity equation states: \[ A_1 v_1 = A_2 v_2 \] where \( A \) is the cross-sectional area and \( v \) is the velocity. - The problem might involve calculating velocities at different points given certain parameters or conditions. **Given options:** - (A) .0647 m³/s and -.016 m/s - (B) .0602 m³/s and -.028 m/s - (C) .0781 m³/s and -.046 m/s - (D) .0546 m³/s and -.036 m/s **Assumption:** - The positive and negative signs indicate flow direction. --- ### **Based on typical fluid flow problems, the correct option is most likely:** **Option (C): .0781 m³/s and -.046 m/s** --- **Note:** This is an educated guess based on the typical flow rates and velocities expected in such problems. For precise verification, the specific data from the problem statement would be necessary.