Winnie and Caden started running together along a cross country track. When Caden completed the track in 31 minutes, Winnie had run only
37 of the track. Winnie’s average speed was 100 m/min slower than Caden’s.
- How long was the cross country track in m?
- Find Winnie’s average speed in m/min.
(a)
When Caden completed the track:
Caden's distance = 7 u
Winnie's distance = 3 u
Extra distance covered by Caden
= 7 u - 3 u
= 4 u
4 u = 100 x 31
4 u = 3100
1 u = 3100 ÷ 4 = 775
Distance of the cross country track
= 7 u
= 7 x 775
= 5425 m
(b)
Caden's speed
= 5425 ÷ 31
= 175 m/min
Winnie's speed
= 175 - 100
= 75 m/min
Answer(s): (a) 5425 m; (b) 75 m/min