Xuan and Justin started running together along a cross country track. When Justin completed the track in 48 minutes, Xuan had run only
49 of the track. Xuan’s average speed was 100 m/min slower than Justin’s.
- How long was the cross country track in m?
- Find Xuan’s average speed in m/min.
(a)
When Justin completed the track:
Justin's distance = 9 u
Xuan's distance = 4 u
Extra distance covered by Justin
= 9 u - 4 u
= 5 u
5 u = 100 x 48
5 u = 4800
1 u = 4800 ÷ 5 = 960
Distance of the cross country track
= 9 u
= 9 x 960
= 8640 m
(b)
Justin's speed
= 8640 ÷ 48
= 180 m/min
Xuan's speed
= 180 - 100
= 80 m/min
Answer(s): (a) 8640 m; (b) 80 m/min