After cycling for 29 km, Archie took a break before he continued cycling ¹₇ of the remaining distance. He then realised that he still had ¹₆ of the total distance not completed. If Archie's average speed was 22 km/h, how much time did he take to complete the entire ride? Express your answer in mixed number.
Fraction of the remaining distance to cycle after resting
= 1 - ¹₇ 
= ⁶₇

⁶₇ of the remaining distance = ¹₆ of the total distance
⁶₇ of the remaining distance = ⁶₃₆ of the total distance

Total distance = 36 u

36 u - 6 u = 1 u + 29
30 u - 1 u = 29
29 u = 29
1 u = 29 ÷ 29 = 1

Total distance
= 36 x 1
= 36 km

Time taken by Archie to travel the entire distance
= 36 ÷ 22
= 1 ¹⁴₂₂
= 1⁷₁₁ h

Answer(s): 1⁷₁₁ h