Ivory and Nick started running together along a cross country track. When Nick completed the track in 33 minutes, Ivory had run only
35 of the track. Ivory’s average speed was 96 m/min slower than Nick’s.
- How long was the cross country track in m?
- Find Ivory’s average speed in m/min.
(a)
When Nick completed the track:
Nick's distance = 5 u
Ivory's distance = 3 u
Extra distance covered by Nick
= 5 u - 3 u
= 2 u
2 u = 96 x 33
2 u = 3168
1 u = 3168 ÷ 2 = 1584
Distance of the cross country track
= 5 u
= 5 x 1584
= 7920 m
(b)
Nick's speed
= 7920 ÷ 33
= 240 m/min
Ivory's speed
= 240 - 96
= 144 m/min
Answer(s): (a) 7920 m; (b) 144 m/min