Hazel and Seth started running together along a cross country track. When Seth completed the track in 38 minutes, Hazel had run only
59 of the track. Hazel’s average speed was 108 m/min slower than Seth’s.
- How long was the cross country track in m?
- Find Hazel’s average speed in m/min.
(a)
When Seth completed the track:
Seth's distance = 9 u
Hazel's distance = 5 u
Extra distance covered by Seth
= 9 u - 5 u
= 4 u
4 u = 108 x 38
4 u = 4104
1 u = 4104 ÷ 4 = 1026
Distance of the cross country track
= 9 u
= 9 x 1026
= 9234 m
(b)
Seth's speed
= 9234 ÷ 38
= 243 m/min
Hazel's speed
= 243 - 108
= 135 m/min
Answer(s): (a) 9234 m; (b) 135 m/min