$3.(30$ points$)$ A pump is used to transfer liquid water from one storage tank to a higher tank $($i$.$e$.,$ further above ground level$).$ Both tanks are open to the atmosphere. The surface of Tank I is $5$ meters above ground level and the surface of Tank Il is $20$ meters above ground level. The tanks are large, and the liquid in the tanks can be assumed to be stationary. Water is transported at a rate of $1\mathrm{.}5$ m$\text{'}/$min$.$ The specific friction losses during flow are $17$ J$/$kg$.$ Assume the pump operates at $100\%$ efficiency.Determine the minimum pump power $($hp$)$ needed to move the water to the higher tank.