Olivia and Cody started running together along a cross country track. When Cody completed the track in 48 minutes, Olivia had run only
37 of the track. Olivia’s average speed was 96 m/min slower than Cody’s.
- How long was the cross country track in m?
- Find Olivia’s average speed in m/min.
(a)
When Cody completed the track:
Cody's distance = 7 u
Olivia's distance = 3 u
Extra distance covered by Cody
= 7 u - 3 u
= 4 u
4 u = 96 x 48
4 u = 4608
1 u = 4608 ÷ 4 = 1152
Distance of the cross country track
= 7 u
= 7 x 1152
= 8064 m
(b)
Cody's speed
= 8064 ÷ 48
= 168 m/min
Olivia's speed
= 168 - 96
= 72 m/min
Answer(s): (a) 8064 m; (b) 72 m/min