It seems likely as on weekdays and Saturdays, on the single line from Ambergate to Matlock as soon as the up train leaves the branch the down enters.
The only solution I imagine is for the (replaced) extra track at Matlock Platform 1 (as was) to be made a passing loop. Another train might sneak though in the quarter hour the train stands at Matlock, but it would be tight and complicated.
There isnt time for EMT to run on to Rowsley and back even if EMT were agreeable.
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