Cindy and Caden started running together along a cross country track. When Caden completed the track in 43 minutes, Cindy had run only
59 of the track. Cindy’s average speed was 112 m/min slower than Caden’s.
- How long was the cross country track in m?
- Find Cindy’s average speed in m/min.
(a)
When Caden completed the track:
Caden's distance = 9 u
Cindy's distance = 5 u
Extra distance covered by Caden
= 9 u - 5 u
= 4 u
4 u = 112 x 43
4 u = 4816
1 u = 4816 ÷ 4 = 1204
Distance of the cross country track
= 9 u
= 9 x 1204
= 10836 m
(b)
Caden's speed
= 10836 ÷ 43
= 252 m/min
Cindy's speed
= 252 - 112
= 140 m/min
Answer(s): (a) 10836 m; (b) 140 m/min