Xandra and Zane started running together along a cross country track. When Zane completed the track in 23 minutes, Xandra had run only
38 of the track. Xandra’s average speed was 95 m/min slower than Zane’s.
- How long was the cross country track in m?
- Find Xandra’s average speed in m/min.
(a)
When Zane completed the track:
Zane's distance = 8 u
Xandra's distance = 3 u
Extra distance covered by Zane
= 8 u - 3 u
= 5 u
5 u = 95 x 23
5 u = 2185
1 u = 2185 ÷ 5 = 437
Distance of the cross country track
= 8 u
= 8 x 437
= 3496 m
(b)
Zane's speed
= 3496 ÷ 23
= 152 m/min
Xandra's speed
= 152 - 95
= 57 m/min
Answer(s): (a) 3496 m; (b) 57 m/min