I wonder what exactly you mean by 1.1Gk/s. Only one type of kangaroos included in that? Using my 1080 Ti, I get about 580Mk/s with my version.
The original JLP Kangaroo version 1.7 gives a speed of about 700 Mk/s for GTX 1660 Super, a few changes in the code and the speed will be 1.1 Gk/s and around 2.2Gk/s for 2080ti.
1080 Ti is old card, I don't know what speed you can get.
P.S. It doesn't matter if it's 1 type of kangaroo or both. The speed is the same.
Kangaroo v1.7Gfix (Only Wild)
Gx=79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798
Gy=483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8
G Multipler: 0x1
JMP Multipler: 0x1
Loading: testwork
Start:0
Stop :7FFFFFFFFFFFFFFFF
Keys :1
KeyX :D2779258710A6FCD4E978335698E5C1B20795F8C3AAE524714E0E40EBACDB213
KeyY :D973566FFD3D6F79192827E1F93CCBF7E7F2EAF48F762C72C37578EA8154D978
LoadWork: [HashTable 1665.5/2088.3MB] [07s]
Number of CPU thread: 0
NB_RUN: 128
GPU_GRP_SIZE: 128
NB_JUMP: 32
Range width: 2^67
JMP bits DEC: 34
Jump Avg distance min: 2^32.95
Jump Avg distance max: 2^33.05
Jump multipled by: 0x1
Jump Avg distance: 2^32.97 [96]
Number of kangaroos: 2^20.46
Suggested DP: 13
Expected operations: 2^35.11
Expected RAM: 184.5MB
DP size: 13 [0xFFF8000000000000]
GPU: GPU #0 NVIDIA GeForce GTX 1660 SUPER (22x64 cores) Grid(88x128) (141.0 MB used)
SolveKeyGPU Thread GPU#0: creating kangaroos...
SolveKeyGPU Thread GPU#0: 2^20.46 kangaroos [9.4s]
[1132.46 MK/s][GPU 1132.46 MK/s][Count 2^38.71][Dead 0][04s (Avg 32s)][1677.2/2103.0MB]
Key# 0 [1S]Pub: 0x02D2779258710A6FCD4E978335698E5C1B20795F8C3AAE524714E0E40EBACDB213
Priv: 0x7989031FDA5BA3BF5