After cycling for 30 km, Asher 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 Asher's average speed was 33 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 + 30
6 u - 1 u = 30
5 u = 30
1 u = 30 ÷ 5 = 6

Total distance
= 8 x 6
= 48 km

Time taken by Asher to travel the entire distance
= 48 ÷ 33
= 1 ¹⁵₃₃
= 1⁵₁₁ h

Answer(s): 1⁵₁₁ h