After cycling for 35 km, Ethan took a break before he continued cycling ¹₃ of the remaining distance. He then realised that he still had ¹₄ of the total distance not completed. If Ethan'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 - ¹₃ 
= ²₃

²₃ of the remaining distance = ¹₄ of the total distance
²₃ of the remaining distance = ²₈ of the total distance

Total distance = 8 u

8 u - 2 u = 1 u + 35
6 u - 1 u = 35
5 u = 35
1 u = 35 ÷ 5 = 7

Total distance
= 8 x 7
= 56 km

Time taken by Ethan to travel the entire distance
= 56 ÷ 26
= 2 ⁴₂₆
= 2²₁₃ h

Answer(s): 2²₁₃ h