Raeann and Dylan started running together along a cross country track. When Dylan completed the track in 40 minutes, Raeann had run only
59 of the track. Raeann’s average speed was 96 m/min slower than Dylan’s.
- How long was the cross country track in m?
- Find Raeann’s average speed in m/min.
(a)
When Dylan completed the track:
Dylan's distance = 9 u
Raeann's distance = 5 u
Extra distance covered by Dylan
= 9 u - 5 u
= 4 u
4 u = 96 x 40
4 u = 3840
1 u = 3840 ÷ 4 = 960
Distance of the cross country track
= 9 u
= 9 x 960
= 8640 m
(b)
Dylan's speed
= 8640 ÷ 40
= 216 m/min
Raeann's speed
= 216 - 96
= 120 m/min
Answer(s): (a) 8640 m; (b) 120 m/min