you should try to pray on the bus, but then repeat that salah when you get home.
Why should you pray and then make it up later. Whats the need to pray in the bus if you are going to repeat it again? Are there any hanafi texts on this issue?
And if he were to ask for a gentle lady in marriage, he would be refused, and when he leaves the world it does not miss him, and if he goes out, his going out is not noticed, and if he falls sick, he is not attended to, and if he dies, he is not accompanied to his grave.
As to why even pray if one has to repeat, it is probably out of respect for the time. For example the ruling where one is to do the motions of prayer out of respect when wudu and tayammum is not possible.
My opinions should not be considered to be the true Islamic position on any issue without verifying with scholars. Whoever follows my opinions should do so at their own risk as I am not a scholar. Also I ask to be forgiven if I offend anyone in my posts.