For an advanced technology ship with a powerful sublight drive, travel time could be between a few days and a couple of months, but is realistically possible. If we start considering EU sources, we find that bespin and hoth are at least 1150 light years apart, and the Falcon has a backup hyperdrive. Hereof, how far is bespin from Hoth?
1150 light years
One may also ask, how long does Luke spend on Dagobah? At that time, the official word from Lucasfilm was that Luke spent 18 months on Dagobah, with a six-month window between The Empire Strikes Back and The Return of the Jedi.
Just so, how long were Han and Leia on Bespin?
They're on Bespin itself probably two days. Vader wouldn't be waiting around for weeks to trap them, and he arrived right before Han and Leia.
What would happen if Luke didn't go to Bespin?
Luke changed no one's fate in going to Bespin, except his own and got his arm cut off. But Luke brought R2-D2 with him, and without R2 to fix the Millennium Falcon's hyperdrive, Leia, Lando, Chewie, and C-3P0 would likely have been recaptured.
Related Question Answers
How did the Millennium Falcon get on Jakku?
Prior to Star Wars, the Falcon was in the possession of Lando Calrissian. He lost it to Han Solo in payment of a gambling debt. After the events of Return of the Jedi, the Falcon is stolen from Solo, ending up on the planet Jakku under the ownership of a scrap dealer, Unkar Plutt, 30 years after the Battle of Endor. How did Boba Fett track the Millennium Falcon?
When Vader instructed the bounty hunters to all go after the Millennium Falcon, Boba Fett hid in the trash compartment of Vader's Star Destroyer; this allowed him to follow the Falcon undetected to its location after it detached from the Star Destroyer (which it had attached to in order to evade their radar). How did Han survive on Hoth?
Luke Skywalker survived the arctic conditions of the planet Hoth in The Empire Strikes Back only because Han Solo killed his tauntaun (a native beast of burden) and shoved Luke inside the animal's warm carcass. This means a Tauntaun's body heat could drop almost 51.2 F every hour. Who fixed the hyperdrive on the Millennium Falcon?
The wreckage was reconditioned by a salvager, who used several sections and modules from a scrapped YT-1300p freighter to repair the ship. Some time later the human gambler named Lando Calrissian won the YT 492727ZED in a game of Sabacc, and registered the freighter under the name Millennium Falcon. How far is dagobah from Hoth?
1150 light years
Where is Bespin?
Bespin was an immense gas giant located in the vicinity of the Anoat system, a desolate sector of the galaxy. Bespin had several moons, and its gaseous mass contained a thin stratum of habitable atmosphere. How long did it take the Millennium Falcon to get to Alderaan?
Once the Falcon makes the Tatooine-to-Alderaan trip in less than two days then the speed increases dramatically per hour. If you shave off one day then the Falcon's speed doubles and you become capable of traversing nearly half of the galaxy in that day. How long did Luke train with Yoda?
six months
Who shot c3po?
It was Boba Fett, he shot 3PO right after he crawled outta the Sarlacc. How much time between Empire Strikes Back and Return of the Jedi?
From the events of The Empire Strikes Back, where Luke duels Vader, discovers the truth, and Han Solo is taken away in carbonite, to Return of the Jedi, where Luke returns to rescue Han, is only one year. That's compared to gaps such as 19 years between Star Wars Episodes III & IV, or over 30 years between VI & VII. How long does Empire Strikes Back take place?
For instance, The Empire Strikes Back takes place three years after Star Wars, and is therefore 3 ABY; The Phantom Menace takes place 32 years before the Death Star is destroyed, or 32 BBY. Did Obi Wan train Luke?
However, once Obi-Wan had started Luke's training and then died, it then became Yoda's task to bring Luke up to a certain level of competence. It was never supposed to be Obi-Wan's mission to train Luke in the Jedi arts. If so, he would have begun this at a much earlier age. How long is Rey with Luke?
Remember Luke said 3 lessons? So taking the 3 lessons to be 3 days and plus few days where Rey saw Kylo at night and all would be like 5 to 7 days. What does Yoda mean by there is another?
The "other" to which Yoda refers is Leia, who is Luke's twin sister, as we learn in this exchange between Luke and Obi-Wan in Star Wars: Episode VI - Return of the Jedi (1983): Luke: Yoda spoke of another. Obi-Wan: The other he spoke of is your twin sister. Why did Yoda go to Dagobah?
Yoda chooses Dagobah for his exile because Dagobah was a remote place and was very little known. Only few knows of it's existence and it was located in the Outer Rim. Qui-Gon Jinn also suggested Dagobah to Yoda because it is one of the purest places in the Universe and will be an ideal place for someone who's exiled. How did Luke train so fast?
Luke didn't learn it 'fast'. Obi-Wan gave him a jump start and left a Journal for Luke to use to further his connection to the force, and after 5 years, he could BARELY call his Lightsaber to him. He spent around 1–3 weeks on Dagobah to train and Yoda taught him everything Luke NEEDED to know in those weeks. Did Luke Skywalker go to the dark side?
Dark Side Luke Skywalker Almost Happened in 'Return of the Jedi' Luke Skywalker probably won't turn to the Dark Side of the Force in Star Wars: Episode VIII- The Last Jedi, but if he did, it wouldn't be writer/director Rian Johnson's idea. And that's because George Lucas came up with it first. What species is Yoda?
The Jedi Master Yoda was the best-known member of a species whose true name is not recorded. Known in some sources simply as Yoda's species, this species of small carnivorous humanoids produced several well-known members of the Jedi Order during the time of the Galactic Republic. Why does Luke go to Dagobah?
THE GALACTIC CIVIL WAR Obi-Wan Kenobi appeared to Luke as a Force spirit and guided him to Dagobah, where Yoda trained the youth as a Jedi. But Luke unwisely cut his lessons short, rushing off to Bespin in an attempt to save his friends from Darth Vader. How long was Han Solo frozen?
about six months
What if Obi Wan killed Vader on the Death Star?
If Obi had defeated Darth Vader on the Death Star, The Dark side wins. Without the aim to bring his father back to the light side of the Force, Luke would learn of his father's true identity, succumb to the Dark Side, become Darth Sidious new aprentice and kill Obi-Won. What if Luke never left Tatooine?
Not that many people have heard of it since most planets are demolished once it appears. So with no indication that the droids or Luke left Tatooine, the storm troopers continue their search. Eventually they find Luke and he is killed like his Aunt and Uncle were. And then Luke woke up. What if Obi Wan survived?
If Obi Wan were to survive he would indeed continue to train Luke in the ways of the Force. Luke's training would proceed at a much faster pace and many of his rough edges would be smoothened. Do or not there is no try?
Do it. Or don't do it. Basically, to Yoda, "trying" doesn't accomplish much. Luke should either decide that he can lift the X-wing fighter out and do it, or make up his mind to quit. What would happen if Luke stayed on Dagobah?
So, if Luke had just stayed on Dagobah, R2-D2 would not had been here to help everybody escape from Cloud City. In Luke's force vision he saw bad outcomes for both Han and Leia. By going to Cloud City he changed that vision, because Leia was ultimately able to escape with the help of Lando. 
