Natalie and Cody started running together along a cross country track. When Cody completed the track in 34 minutes, Natalie had run only
49 of the track. Natalie’s average speed was 105 m/min slower than Cody’s.
- How long was the cross country track in m?
- Find Natalie’s average speed in m/min.
(a)
When Cody completed the track:
Cody's distance = 9 u
Natalie's distance = 4 u
Extra distance covered by Cody
= 9 u - 4 u
= 5 u
5 u = 105 x 34
5 u = 3570
1 u = 3570 ÷ 5 = 714
Distance of the cross country track
= 9 u
= 9 x 714
= 6426 m
(b)
Cody's speed
= 6426 ÷ 34
= 189 m/min
Natalie's speed
= 189 - 105
= 84 m/min
Answer(s): (a) 6426 m; (b) 84 m/min