Kylie and Wesley started running together along a cross country track. When Wesley completed the track in 36 minutes, Kylie had run only
47 of the track. Kylie’s average speed was 99 m/min slower than Wesley’s.
- How long was the cross country track in m?
- Find Kylie’s average speed in m/min.
(a)
When Wesley completed the track:
Wesley's distance = 7 u
Kylie's distance = 4 u
Extra distance covered by Wesley
= 7 u - 4 u
= 3 u
3 u = 99 x 36
3 u = 3564
1 u = 3564 ÷ 3 = 1188
Distance of the cross country track
= 7 u
= 7 x 1188
= 8316 m
(b)
Wesley's speed
= 8316 ÷ 36
= 231 m/min
Kylie's speed
= 231 - 99
= 132 m/min
Answer(s): (a) 8316 m; (b) 132 m/min