I agree with Retro but would like to add
are you sure the trek takes 27" wheels and not 700c? will the diameter of the axle, yes I know it has 'flats' on it but will it fit in the dropouts?
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“One morning you wake up, the girl is gone, the bikes are gone, all that's left behind is a pair of old tires and a tube of tubular glue, all squeezed out"
Sugar "Kane" Kowalczyk