Xylia and Albert started running together along a cross country track. When Albert completed the track in 24 minutes, Xylia had run only
37 of the track. Xylia’s average speed was 108 m/min slower than Albert’s.
- How long was the cross country track in m?
- Find Xylia’s average speed in m/min.
(a)
When Albert completed the track:
Albert's distance = 7 u
Xylia's distance = 3 u
Extra distance covered by Albert
= 7 u - 3 u
= 4 u
4 u = 108 x 24
4 u = 2592
1 u = 2592 ÷ 4 = 648
Distance of the cross country track
= 7 u
= 7 x 648
= 4536 m
(b)
Albert's speed
= 4536 ÷ 24
= 189 m/min
Xylia's speed
= 189 - 108
= 81 m/min
Answer(s): (a) 4536 m; (b) 81 m/min