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Answer 1 · 2017-09-26T20:29:51

#0.2# gallons per minute

Since the container is leaking at a constant rate and we know what the initial volume and final volume is, we can then find the change in volume.

#DeltaV = V_"final" -V_"intial"#.
#DeltaV = 3#gal# -5#gal.
#DeltaV = -2#gal

The negative symbol indicates that the volume of water is getting less.

Now we also know the time it takes to leak 2 gallons which is 10 minutes.

The rate is simply #(deltaV) / (deltat)#

So our #delta t# is 10 minutes

Substituting the values into the rate equation

# 2 / 10# gallons per minute
or
#0.2# gallons per minute