Xylia and Vincent started running together along a cross country track. When Vincent completed the track in 30 minutes, Xylia had run only
59 of the track. Xylia’s average speed was 96 m/min slower than Vincent’s.
- How long was the cross country track in m?
- Find Xylia’s average speed in m/min.
(a)
When Vincent completed the track:
Vincent's distance = 9 u
Xylia's distance = 5 u
Extra distance covered by Vincent
= 9 u - 5 u
= 4 u
4 u = 96 x 30
4 u = 2880
1 u = 2880 ÷ 4 = 720
Distance of the cross country track
= 9 u
= 9 x 720
= 6480 m
(b)
Vincent's speed
= 6480 ÷ 30
= 216 m/min
Xylia's speed
= 216 - 96
= 120 m/min
Answer(s): (a) 6480 m; (b) 120 m/min