After cycling for 35 km, Warren took a break before he continued cycling ¹₇ of the remaining distance. He then realised that he still had ¹₇ of the total distance not completed. If Warren's average speed was 21 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 - ¹₇ 
= ⁶₇

⁶₇ of the remaining distance = ¹₇ of the total distance
⁶₇ of the remaining distance = ⁶₄₂ of the total distance

Total distance = 42 u

42 u - 6 u = 1 u + 35
36 u - 1 u = 35
35 u = 35
1 u = 35 ÷ 35 = 1

Total distance
= 42 x 1
= 42 km

Time taken by Warren to travel the entire distance
= 42 ÷ 21
= 2 ⁰₂₁
= 2 h

Answer(s): 2 h