Xylia and Dylan started running together along a cross country track. When Dylan completed the track in 36 minutes, Xylia had run only
37 of the track. Xylia’s average speed was 104 m/min slower than Dylan’s.
- How long was the cross country track in m?
- Find Xylia’s average speed in m/min.
(a)
When Dylan completed the track:
Dylan's distance = 7 u
Xylia's distance = 3 u
Extra distance covered by Dylan
= 7 u - 3 u
= 4 u
4 u = 104 x 36
4 u = 3744
1 u = 3744 ÷ 4 = 936
Distance of the cross country track
= 7 u
= 7 x 936
= 6552 m
(b)
Dylan's speed
= 6552 ÷ 36
= 182 m/min
Xylia's speed
= 182 - 104
= 78 m/min
Answer(s): (a) 6552 m; (b) 78 m/min