After cycling for 34 km, Fabian took a break before he continued cycling ¹₆ of the remaining distance. He then realised that he still had ¹₈ of the total distance not completed. If Fabian's average speed was 34 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 - ¹₆ 
= ⁵₆

⁵₆ of the remaining distance = ¹₈ of the total distance
⁵₆ of the remaining distance = ⁵₄₀ of the total distance

Total distance = 40 u

40 u - 5 u = 1 u + 34
35 u - 1 u = 34
34 u = 34
1 u = 34 ÷ 34 = 1

Total distance
= 40 x 1
= 40 km

Time taken by Fabian to travel the entire distance
= 40 ÷ 34
= 1 ⁶₃₄
= 1³₁₇ h

Answer(s): 1³₁₇ h