Zoe and Owen started running together along a cross country track. When Owen completed the track in 48 minutes, Zoe had run only
59 of the track. Zoe’s average speed was 104 m/min slower than Owen’s.
- How long was the cross country track in m?
- Find Zoe’s average speed in m/min.
(a)
When Owen completed the track:
Owen's distance = 9 u
Zoe's distance = 5 u
Extra distance covered by Owen
= 9 u - 5 u
= 4 u
4 u = 104 x 48
4 u = 4992
1 u = 4992 ÷ 4 = 1248
Distance of the cross country track
= 9 u
= 9 x 1248
= 11232 m
(b)
Owen's speed
= 11232 ÷ 48
= 234 m/min
Zoe's speed
= 234 - 104
= 130 m/min
Answer(s): (a) 11232 m; (b) 130 m/min