After cycling for 22 km, Cody took a break before he continued cycling ¹₅ of the remaining distance. He then realised that he still had ¹₄ of the total distance not completed. If Cody's average speed was 20 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 = ¹₄ of the total distance
⁴₅ of the remaining distance = ⁴₁₆ of the total distance

Total distance = 16 u

16 u - 4 u = 1 u + 22
12 u - 1 u = 22
11 u = 22
1 u = 22 ÷ 11 = 2

Total distance
= 16 x 2
= 32 km

Time taken by Cody to travel the entire distance
= 32 ÷ 20
= 1 ¹²₂₀
= 1³₅ h

Answer(s): 1³₅ h