Is it enough time to catch the connecting in Hongqiao and Kunming airport

You will reach KM at 10:55 and leave that place at 13:05?
If so, the transfering time is enough.
Between the two terminals of Hongqiao airport, you can take the free shuttle buses of the airport.
The free shuttle bus takes about ten minutes.
Since you just make a transfer in China, so generally speaking, you do not need to claim your luggage on your own. But in order to make sure, it is suggested to consult the airline company directly.
Since your transfering time is within 24 hours, the transit visa is not needed.
In KM airport, there is an airport hotel, so maybe you can try. For Hongqiao, I only know there are vip lounge rooms, but may not be available for economy passengers. So you need to wait in the transit area.

1. Yes, you will catch all the planes!
2. There are free shuttle buses between T1 and T2 at Hongqiao Airport and you can take that at the door no. 6 of Departure Hall of T1.
3. The free shuttle bus takes 10-15min.
4. If you hold the flight connecting boarding pass, no need to pick up your lugagge and recheck it it. For this matter, you'd better confirm with your airlines in advance!
5. No visa is needed for your transit if you don't get out of the airport.
6. I remember there are lounges in Hongqiao Airport for your convenience! For details, you can dial 86-021-96990 to confirm! In KM, no hotel is needed for you. You can just rest in the waiting hall of the airport to catch your plane then!
Hope this is clear!

Thanks for the reply to me.

But the question is when I will transfer from T1 to T2 dont I need a visa?
For that I need to complete my immigration and need to catch a domestic flight to KM.
I am so confused. Pl help.

Thanks

Yes, no visa is needed when transferring from T1 to T2. Don't worry!