After cycling for 40 km, Nick took a break before he continued cycling ¹₄ of the remaining distance. He then realised that he still had ¹₈ of the total distance not completed. If Nick's average speed was 27 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 - ¹₄ 
= ³₄

³₄ of the remaining distance = ¹₈ of the total distance
³₄ of the remaining distance = ³₂₄ of the total distance

Total distance = 24 u

24 u - 3 u = 1 u + 40
21 u - 1 u = 40
20 u = 40
1 u = 40 ÷ 20 = 2

Total distance
= 24 x 2
= 48 km

Time taken by Nick to travel the entire distance
= 48 ÷ 27
= 1 ²¹₂₇
= 1⁷₉ h

Answer(s): 1⁷₉ h