Valen took 12 min to cycle from his home to a boutique for his morning exercise. After the exercise, he took 48 min to walk the same route home. The difference between his cycling and walking speed was 60 km/h. How far was Valen’s home from the boutique?
48 : 12
4 : 1

Walking speed : Cycling speed 
1 : 4 

The distance between Joe's home and the park was the same.

The travel time is inversely related to the speed.
When speed increases, the travel time decreases.

Difference in the the walking speed and cycling speed
= 4 u - 1 u
= 3 u

3 u = 60

1 u = 60 ÷ 3 = 20

Valen's walking speed = 20 km/h

60 min = 1 h
1 min = ¹₆₀ h
48 min = ⁴⁸₆₀ h = ⁴₅ h

Distance between Valen's home and the boutique
= ⁴₅ x 20 
= 16 km

Answer(s): 16 km