Anna and Cody started running together along a cross country track. When Cody completed the track in 43 minutes, Anna had run only
13 of the track. Anna’s average speed was 110 m/min slower than Cody’s.
- How long was the cross country track in m?
- Find Anna’s average speed in m/min.
(a)
When Cody completed the track:
Cody's distance = 3 u
Anna's distance = 1 u
Extra distance covered by Cody
= 3 u - 1 u
= 2 u
2 u = 110 x 43
2 u = 4730
1 u = 4730 ÷ 2 = 2365
Distance of the cross country track
= 3 u
= 3 x 2365
= 7095 m
(b)
Cody's speed
= 7095 ÷ 43
= 165 m/min
Anna's speed
= 165 - 110
= 55 m/min
Answer(s): (a) 7095 m; (b) 55 m/min