Anna and Fabian started running together along a cross country track. When Fabian completed the track in 40 minutes, Anna had run only
49 of the track. Anna’s average speed was 110 m/min slower than Fabian’s.
- How long was the cross country track in m?
- Find Anna’s average speed in m/min.
(a)
When Fabian completed the track:
Fabian's distance = 9 u
Anna's distance = 4 u
Extra distance covered by Fabian
= 9 u - 4 u
= 5 u
5 u = 110 x 40
5 u = 4400
1 u = 4400 ÷ 5 = 880
Distance of the cross country track
= 9 u
= 9 x 880
= 7920 m
(b)
Fabian's speed
= 7920 ÷ 40
= 198 m/min
Anna's speed
= 198 - 110
= 88 m/min
Answer(s): (a) 7920 m; (b) 88 m/min