Xandra and Michael started running together along a cross country track. When Michael completed the track in 25 minutes, Xandra had run only
49 of the track. Xandra’s average speed was 115 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 = 9 u
Xandra's distance = 4 u
Extra distance covered by Michael
= 9 u - 4 u
= 5 u
5 u = 115 x 25
5 u = 2875
1 u = 2875 ÷ 5 = 575
Distance of the cross country track
= 9 u
= 9 x 575
= 5175 m
(b)
Michael's speed
= 5175 ÷ 25
= 207 m/min
Xandra's speed
= 207 - 115
= 92 m/min
Answer(s): (a) 5175 m; (b) 92 m/min