Question 1006200
garden hose takes x minutes
fire hose takes x/13.5 minutes, that is 13.5 times faster.  Now set the two equal to 107 minutes.
107=x+x/13.5 minutes
multiply both sides by 13.5
1444.5=13.5x+x=14.5x
x=1444.5/14.5
=99.6 minutes for the garden hose
99.6/13.5=7.4 minutes for the fire hose.
The issue here is that the firehose is 13.5 times faster, and it takes x/13.5 minutes to fill it.