East Midlands Trains operates a train from Grimsby to Market Rasen every 4 hours. Tickets cost $15 - $22 and the journey takes 35 min. Alternatively, Stagecoach in Lincolnshire operates a bus from Grimsby to Market Rasen hourly. Tickets cost $9 and the journey takes 50 min.
From Grimsby Town train to Market Rasen. 35 min £13. From Ellis Way, Holles Street (Asda) bus to Market Rasen, Market Place. 50 min £6. From Grimsby taxi to Market Rasen. 27 min £67. From Grimsby drive to Market Rasen. 27 min £3.