After cycling for 38 km, Ian took a break before he continued cycling ¹₅ of the remaining distance. He then realised that he still had ¹₆ of the total distance not completed. If Ian'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 - ¹₅ 
= ⁴₅

⁴₅ of the remaining distance = ¹₆ of the total distance
⁴₅ of the remaining distance = ⁴₂₄ of the total distance

Total distance = 24 u

24 u - 4 u = 1 u + 38
20 u - 1 u = 38
19 u = 38
1 u = 38 ÷ 19 = 2

Total distance
= 24 x 2
= 48 km

Time taken by Ian to travel the entire distance
= 48 ÷ 28
= 1 ²⁰₂₈
= 1⁵₇ h

Answer(s): 1⁵₇ h