Xandra and Michael started running together along a cross country track. When Michael completed the track in 35 minutes, Xandra had run only
37 of the track. Xandra’s average speed was 112 m/min slower than Michael’s.
- How long was the cross country track in m?
- Find Xandra’s average speed in m/min.
(a)
When Michael completed the track:
Michael's distance = 7 u
Xandra's distance = 3 u
Extra distance covered by Michael
= 7 u - 3 u
= 4 u
4 u = 112 x 35
4 u = 3920
1 u = 3920 ÷ 4 = 980
Distance of the cross country track
= 7 u
= 7 x 980
= 6860 m
(b)
Michael's speed
= 6860 ÷ 35
= 196 m/min
Xandra's speed
= 196 - 112
= 84 m/min
Answer(s): (a) 6860 m; (b) 84 m/min