Elyse and Dylan started running together along a cross country track. When Dylan completed the track in 29 minutes, Elyse had run only
59 of the track. Elyse’s average speed was 96 m/min slower than Dylan’s.
- How long was the cross country track in m?
- Find Elyse’s average speed in m/min.
(a)
When Dylan completed the track:
Dylan's distance = 9 u
Elyse's distance = 5 u
Extra distance covered by Dylan
= 9 u - 5 u
= 4 u
4 u = 96 x 29
4 u = 2784
1 u = 2784 ÷ 4 = 696
Distance of the cross country track
= 9 u
= 9 x 696
= 6264 m
(b)
Dylan's speed
= 6264 ÷ 29
= 216 m/min
Elyse's speed
= 216 - 96
= 120 m/min
Answer(s): (a) 6264 m; (b) 120 m/min