A Model $18-$M $(3)$ Centrifugal Pump is available to dewater a construction excavation, a sump pit is made $5$ below the bottom of the excavation and the excavation is graded to allow water to flow to the sump hole with the assistance of a collector drain. The depth of the excavation is $10$ below the existing ground surface and the pump is located at the top of the excavation and is discharging the water at that elevation across the ground. Observations have shown that water is infiltrating the excavation at a flow rate of $150$ gallons per minute. Will the available pump be able to keep up with the observed infiltration flow rate, YES or NO$?$ Support your conclusion with appropriate calculations. Assume that you will use $30$ of $3$ suction hose connected to the pump with a $45$o elbow and $10$ of $3$ steel discharge pipe connected directly to the pump with a check value fully open. Assume the sump hole is full of water. Assume that the slope from the top to the bottom of the excavation is vertical.