Zoe and Oliver started running together along a cross country track. When Oliver completed the track in 46 minutes, Zoe had run only
47 of the track. Zoe’s average speed was 111 m/min slower than Oliver’s.
- How long was the cross country track in m?
- Find Zoe’s average speed in m/min.
(a)
When Oliver completed the track:
Oliver's distance = 7 u
Zoe's distance = 4 u
Extra distance covered by Oliver
= 7 u - 4 u
= 3 u
3 u = 111 x 46
3 u = 5106
1 u = 5106 ÷ 3 = 1702
Distance of the cross country track
= 7 u
= 7 x 1702
= 11914 m
(b)
Oliver's speed
= 11914 ÷ 46
= 259 m/min
Zoe's speed
= 259 - 111
= 148 m/min
Answer(s): (a) 11914 m; (b) 148 m/min