After cycling for 33 km, Michael took a break before he continued cycling ¹₃ of the remaining distance. He then realised that he still had ¹₇ of the total distance not completed. If Michael's average speed was 35 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 = ¹₇ of the total distance
²₃ of the remaining distance = ²₁₄ of the total distance

Total distance = 14 u

14 u - 2 u = 1 u + 33
12 u - 1 u = 33
11 u = 33
1 u = 33 ÷ 11 = 3

Total distance
= 14 x 3
= 42 km

Time taken by Michael to travel the entire distance
= 42 ÷ 35
= 1 ⁷₃₅
= 1¹₅ h

Answer(s): 1¹₅ h