This also happened nearly two decades ago.We used to go from LJN to home station BV via LJN-BJU Express. That train today has RSA with LJN-JBP Express [though it is not strictly needed given double electrified tracks all along]. But back in the day, it was diesel tracks, much of it single line with a honking WDM-3D/A in tow and worst of all, no RSA. So the rake that used to come, same rake used to reverse from LJN.The turn around time was 2.5 hours but the train used to come terribly late and of course, would need easily ~1 hr for rakes to reverse and more importantly, passengers to board from souce. It didn't help that all trains then coming to NER used to undergo LR at LJN and almost all got higher priority than this crawler.
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This train often used to depart couple of hours late from source itself and would reach my destination much later in the night. So, what we did was board the Rapti Sagar Express [which doesn't stop at Babhnan], assumed it would over take the GD-GKP passenger somewhere b/w GD and Mankapur and we'll deboard at Mankapur and board the passenger upto our destination 30 kms away. Well, that didn't happen. The Rapti Sagar was slightly late and the passenger wasn't overtaken after Mankapur station had crossed. We OT the passenger and after that had an unscheduled halt ~10 kms before our destination. But of course, Rapti Sagar's next stop was Basti, so we deboarded the train and were then in the middle of two stations at ~2000 hrs. One was "Parsa Tewari", 1 km ahead and other was "Babhan Jyotia", 1 km before. We decided to walk/run with our luggage towards "Babhan Jyotia" since the previous station was newly built and we didn't knew if the passenger will halt there or not. We reached there in ~10 mins or so. Waited a few mins for the passenger and then boarded it. Reached our destination after 20 minutes more.