Ben took 10 min to cycle from his home to a school for his morning exercise. After the exercise, he took 50 min to walk the same route home. The difference between his cycling and walking speed was 48 km/h. How far was Ben’s home from the school?
Walking time: Cycling time
50 : 10
5 : 1
Walking speed : Cycling speed
1 : 5
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
= 5 u - 1 u
= 4 u
4 u = 48
1 u = 48 ÷ 4 = 12
Ben's walking speed = 12 km/h
60 min = 1 h
1 min =
160 h
50 min =
5060 h =
56 h
Distance between Ben's home and the school
=
56 x 12
= 10 km
Answer(s): 10 km