Yoko and Wesley started running together along a cross country track. When Wesley completed the track in 30 minutes, Yoko had run only
35 of the track. Yoko’s average speed was 100 m/min slower than Wesley’s.
- How long was the cross country track in m?
- Find Yoko’s average speed in m/min.
(a)
When Wesley completed the track:
Wesley's distance = 5 u
Yoko's distance = 3 u
Extra distance covered by Wesley
= 5 u - 3 u
= 2 u
2 u = 100 x 30
2 u = 3000
1 u = 3000 ÷ 2 = 1500
Distance of the cross country track
= 5 u
= 5 x 1500
= 7500 m
(b)
Wesley's speed
= 7500 ÷ 30
= 250 m/min
Yoko's speed
= 250 - 100
= 150 m/min
Answer(s): (a) 7500 m; (b) 150 m/min