Xandra and Dylan started running together along a cross country track. When Dylan completed the track in 47 minutes, Xandra had run only
35 of the track. Xandra’s average speed was 102 m/min slower than Dylan’s.
- How long was the cross country track in m?
- Find Xandra’s average speed in m/min.
(a)
When Dylan completed the track:
Dylan's distance = 5 u
Xandra's distance = 3 u
Extra distance covered by Dylan
= 5 u - 3 u
= 2 u
2 u = 102 x 47
2 u = 4794
1 u = 4794 ÷ 2 = 2397
Distance of the cross country track
= 5 u
= 5 x 2397
= 11985 m
(b)
Dylan's speed
= 11985 ÷ 47
= 255 m/min
Xandra's speed
= 255 - 102
= 153 m/min
Answer(s): (a) 11985 m; (b) 153 m/min