Everyone knows if a train is running late, ONLY RailFans know WHY it is late

If You can alight here and head to Shirdi by road which would be 35 kms it would take not more than one hour, Even if you are travelling by a direct train to SNSI, which takes a minimum of 2.5 hrs by train from NSL to SNSI via Manamad.
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If you are arriving by trains which don't goto SNSI like NS-NSL Exp, Ajantha Express, etc. Shirdi Sansthan trust arranges buses from NSL station to Shirdi BhakthNiwas directly with nominal fare.
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WORKS In The REVERSE to catch a train at NAGARSOL.
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Else you can hire taxis which are expensive and uncomfortable as most of them would not have proper permits.
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The other option would be travel by Maharasthra State RTC buses with a change of bus at Ewla if you don't get a direct bus. (This is not suggestable).