After cycling for 30 km, Cody took a break before he continued cycling ¹₅ of the remaining distance. He then realised that he still had ¹₅ of the total distance not completed. If Cody'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 - ¹₅ 
= ⁴₅

⁴₅ of the remaining distance = ¹₅ of the total distance
⁴₅ of the remaining distance = ⁴₂₀ of the total distance

Total distance = 20 u

20 u - 4 u = 1 u + 30
16 u - 1 u = 30
15 u = 30
1 u = 30 ÷ 15 = 2

Total distance
= 20 x 2
= 40 km

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

Answer(s): 1³₁₇ h