After cycling for 28 km, Reggie 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 Reggie's average speed was 28 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 + 28
8 u - 1 u = 28
7 u = 28
1 u = 28 ÷ 7 = 4

Total distance
= 10 x 4
= 40 km

Time taken by Reggie to travel the entire distance
= 40 ÷ 28
= 1 ¹²₂₈
= 1³₇ h

Answer(s): 1³₇ h