Write and solve an inequality for the following: A fish tank can hold at most 315 gallons of water. if a hose is filling the fish tank at a rate of 15 gallons every 10 minutes, how many hours can the hose be left on before the tank overflows?

Rate of flow of water in the fish tank will be given by:

rate=volume/time

the rate of our tank is 15 gallons every 10 minutes. Thus,

rate=15/10=1.5 gallons / minute

Therefore time taken for the tank to overflow will be:

time=volume*rate

volume of the tank=315 gallons

rate=1.5 gallons per minute

hence:

time=315*1.5

=472.5 minutes

=7 7/8 hours=7.875 hours