After cycling for 35 km, Tim took a break before he continued cycling ¹₃ of the remaining distance. He then realised that he still had ¹₅ of the total distance not completed. If Tim's average speed was 24 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 = ¹₅ of the total distance
²₃ of the remaining distance = ²₁₀ of the total distance

Total distance = 10 u

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

Total distance
= 10 x 5
= 50 km

Time taken by Tim to travel the entire distance
= 50 ÷ 24
= 2 ²₂₄
= 2¹₁₂ h

Answer(s): 2¹₁₂ h