Xuan and Cole started running together along a cross country track. When Cole completed the track in 50 minutes, Xuan had run only
35 of the track. Xuan’s average speed was 100 m/min slower than Cole’s.
- How long was the cross country track in m?
- Find Xuan’s average speed in m/min.
(a)
When Cole completed the track:
Cole's distance = 5 u
Xuan's distance = 3 u
Extra distance covered by Cole
= 5 u - 3 u
= 2 u
2 u = 100 x 50
2 u = 5000
1 u = 5000 ÷ 2 = 2500
Distance of the cross country track
= 5 u
= 5 x 2500
= 12500 m
(b)
Cole's speed
= 12500 ÷ 50
= 250 m/min
Xuan's speed
= 250 - 100
= 150 m/min
Answer(s): (a) 12500 m; (b) 150 m/min