A can beat B in a 100-metre race by 10 metres. B can beat C in a 100-metre race by 10 metres. What is the ratio ($$t_{A}: t_{B}: t_{c}$$), which are the respective times taken by A, B and C to complete the race?

A

100 : 90 : 81

B

90 : 81 : 100

C

100 : 81 : 90

D

81 : 90: 100