Do the families have the proper permits to add water to the public pool? If not should the time to acquire the permits be considered ?
Secondly, What is the temperature of the water coming out of the hoses, as cooler water will expand and fill the pool faster.
Considering all of the unknowns we can not solve for Time. Do you know how much water the Baxters are delivering to the pool? It appears they did not pay their Water bill.
Pool=302,000
Gilberts=G=(B/12)*92/H
Baxters=B
Sings=S=85gallons/H
Time=302,000/S+B+G/H
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