Pointing a garden hose at the chain is not recommended, as some parts like the derailleur could be displaced under the pressure of the water. The granny gear is the smallest cog on the front crankset of your bike. The rear derailleur moves your chain up or down a set of sprockets attached to your rear wheel. Where do you live? A chain on a bike used all winter long may have to deal with plenty of road salt and will therefore wear a lot faster — but with proper care and maintenance, it could probably do to miles with ease.
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