Fred took 12 min to cycle from his home to a library for his morning exercise. After the exercise, he took 45 min to walk the same route home. The difference between his cycling and walking speed was 44 km/h. How far was Fred’s home from the library?
45 : 12
15 : 4

Walking speed : Cycling speed 
4 : 15 

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
= 15 u - 4 u
= 11 u

11 u = 44

1 u = 44 ÷ 11 = 4

Fred's walking speed = 4 km/h

60 min = 1 h
1 min = ¹₆₀ h
45 min = ⁴⁵₆₀ h = ³₄ h

Distance between Fred's home and the library
= ³₄ x 4 
= 3 km

Answer(s): 3 km