Victoria and Wesley started running together along a cross country track. When Wesley completed the track in 22 minutes, Victoria had run only
47 of the track. Victoria’s average speed was 96 m/min slower than Wesley’s.
- How long was the cross country track in m?
- Find Victoria’s average speed in m/min.
(a)
When Wesley completed the track:
Wesley's distance = 7 u
Victoria's distance = 4 u
Extra distance covered by Wesley
= 7 u - 4 u
= 3 u
3 u = 96 x 22
3 u = 2112
1 u = 2112 ÷ 3 = 704
Distance of the cross country track
= 7 u
= 7 x 704
= 4928 m
(b)
Wesley's speed
= 4928 ÷ 22
= 224 m/min
Victoria's speed
= 224 - 96
= 128 m/min
Answer(s): (a) 4928 m; (b) 128 m/min