$6\mathrm{.}24$ It is necessary to pump $6000$ gpm of water from a reservoir at an elevation of $900$ ft to a

tank whose bottom is at an elevation of $1050$ ft $.$ The pumping unit is located at elevation

$900$ ft $.$ The suction pipe is $24$ in $.$ in diameter and very short, so head losses may be neglect$-$

ed$.$ The pipeline from the pump to the upper tank is $410$ ft long and is $20$ in $.$ in diameter.

Consider that minor losses in the line equal $2\mathrm{.}5$ ft of water. The maximum depth of water

in the tank is $38$ ft $,$ and the supply lines are cast iron. Find the maximum lift of the pump

and the horsepower required for pumping if the pump efficiency is $76\%.$