"Was there only a day between the races when Flyingbolt ran in both?"
He was some horse!
From Wikipedia:
".....................His next start was back at home in the Thyestes Handicap Chase at Gowran Park where he carried the now customary top weight and beat Height O'Fashion by a distance (in excess of 30 lengths) giving her 28 lbs with Flying Wild (who received 29 lbs) another 25 lengths back in third. Yet another astonishing performance. Indeed Arkle had failed by a length to give 32 lbs to Flying Wild in the previous season's Massey-Ferguson Gold Cup.
His next port of call was the Cheltenham Festival for the 2-mile Champion Chase. He started at odds of 1-5, the shortest price in the history of the race and he won pulling up by 15 lengths. The comment beside his name in the Form Book afterwards said it all - "took lead 2 out, canter". This effort led many to regret that he wasn't given the chance to take on Arkle in the Gold Cup. Unfortunately, because both were trained by the same man, this was always unlikely to happen. However, 24 hours after the Champion Chase, Flyingbolt re-appeared in the Champion Hurdle where despite taking on the specialist 2-mile hurdlers he started a short priced favourite. Although beaten by just over 3 lengths, Pat Taaffe was widely criticised for going round the outside and perhaps not letting this proven stayer set a clear lead earlier. As it was, Flyingbolt got too close to the fourth last and lost valuable ground which may well have cost him the race. It is also possible that Taaffe was mindful of the fact that he had just raced the previous day and instead of kicking on down the hill in order to make full use of his stamina, he waited till the straight which allowed his 'quicker' rivals to conserve their energy and he was just caught for 'toe' after the last. Indeed, it was one of the very rare occasions that Tom Dreaper ever expressed his dissatisfaction to Pat for the ride he gave to one of his horses. However, Flyingbolt ended his season on a high note when carrying the welter burden of 12st-7 lbs in the Irish Grand National over three-and-a-quarter miles at Fairyhouse beating Height O'Fashion (by 2 lengths) and the previous year's winner Splash, giving them 40 lbs and 42 lbs respectively. When Arkle (carrying 12-0) won the same race 2 years previously he beat Height O'Fashion by a length-and-a-quarter giving her 30 lbs, 10 lbs less than what Flyingbolt had conceded. Indeed Flyingbolt is the only Irish National winner since 1946 to have carried 12-7 to victory in this race and it is a feat that is most unlikely to be repeated. Pat Taaffe later reflected on the race in his aforementioned book when he said:
"Flyingbolt won the 1966 Irish National very easily from Arkle's old rival Height O'Fashion. He settled down beautifully and I was surprised how well he stayed. If top weight worried him, it never showed. He made winning look an easy thing that day. Once again I was reminded that I was alternating between the king and crown prince of chasing. More than ever, it now seemed only a matter of time before he took over from Arkle."
It was yet another remarkable effort and he was now unbeaten in 11 starts over fences. In all, he had won 17 of his 20 races including 3 wins in 3 different races at the Cheltenham Festival, a feat that has yet to be equalled. At only 7 years of age (2 years younger than Arkle) it looked like he had the racing world at his feet. Sadly, things would never be the same again."