Hilda and Justin started running together along a cross country track. When Justin completed the track in 28 minutes, Hilda had run only
37 of the track. Hilda’s average speed was 108 m/min slower than Justin’s.
- How long was the cross country track in m?
- Find Hilda’s average speed in m/min.
(a)
When Justin completed the track:
Justin's distance = 7 u
Hilda's distance = 3 u
Extra distance covered by Justin
= 7 u - 3 u
= 4 u
4 u = 108 x 28
4 u = 3024
1 u = 3024 ÷ 4 = 756
Distance of the cross country track
= 7 u
= 7 x 756
= 5292 m
(b)
Justin's speed
= 5292 ÷ 28
= 189 m/min
Hilda's speed
= 189 - 108
= 81 m/min
Answer(s): (a) 5292 m; (b) 81 m/min