After cycling for 34 km, Carl took a break before he continued cycling ¹₇ of the remaining distance. He then realised that he still had ¹₄ of the total distance not completed. If Carl's average speed was 26 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 = ¹₄ of the total distance
⁶₇ of the remaining distance = ⁶₂₄ of the total distance

Total distance = 24 u

24 u - 6 u = 1 u + 34
18 u - 1 u = 34
17 u = 34
1 u = 34 ÷ 17 = 2

Total distance
= 24 x 2
= 48 km

Time taken by Carl to travel the entire distance
= 48 ÷ 26
= 1 ²²₂₆
= 1¹¹₁₃ h

Answer(s): 1¹¹₁₃ h