Hazel and Fabian started running together along a cross country track. When Fabian completed the track in 27 minutes, Hazel had run only
47 of the track. Hazel’s average speed was 114 m/min slower than Fabian’s.
- How long was the cross country track in m?
- Find Hazel’s average speed in m/min.
(a)
When Fabian completed the track:
Fabian's distance = 7 u
Hazel's distance = 4 u
Extra distance covered by Fabian
= 7 u - 4 u
= 3 u
3 u = 114 x 27
3 u = 3078
1 u = 3078 ÷ 3 = 1026
Distance of the cross country track
= 7 u
= 7 x 1026
= 7182 m
(b)
Fabian's speed
= 7182 ÷ 27
= 266 m/min
Hazel's speed
= 266 - 114
= 152 m/min
Answer(s): (a) 7182 m; (b) 152 m/min