After cycling for 40 km, Ethan took a break before he continued cycling ¹₄ of the remaining distance. He then realised that he still had ¹₄ of the total distance not completed. If Ethan's average speed was 25 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 = ¹₄ of the total distance
³₄ of the remaining distance = ³₁₂ of the total distance

Total distance = 12 u

12 u - 3 u = 1 u + 40
9 u - 1 u = 40
8 u = 40
1 u = 40 ÷ 8 = 5

Total distance
= 12 x 5
= 60 km

Time taken by Ethan to travel the entire distance
= 60 ÷ 25
= 2 ¹⁰₂₅
= 2²₅ h

Answer(s): 2²₅ h