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Let distance cycled be C and distance walked be W:

  Cycled Walked Total
Distance C W 150
Speed 35 5  
Time C/35 W/5 4.5

C + W = 150 — (1)

C/35 + W/5 = 4.5 — (2)

(2) × 35: C + 7W = 157.5 — (3)

(3) – (1): 6W = 7.5

W = 1.25

Sub W = 1.25 into (1):

C + 1.25 = 150

C = 148.75 km

 

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