Min and Vincent started running together along a cross country track. When Vincent completed the track in 39 minutes, Min had run only
58 of the track. Min’s average speed was 96 m/min slower than Vincent’s.
- How long was the cross country track in m?
- Find Min’s average speed in m/min.
(a)
When Vincent completed the track:
Vincent's distance = 8 u
Min's distance = 5 u
Extra distance covered by Vincent
= 8 u - 5 u
= 3 u
3 u = 96 x 39
3 u = 3744
1 u = 3744 ÷ 3 = 1248
Distance of the cross country track
= 8 u
= 8 x 1248
= 9984 m
(b)
Vincent's speed
= 9984 ÷ 39
= 256 m/min
Min's speed
= 256 - 96
= 160 m/min
Answer(s): (a) 9984 m; (b) 160 m/min