Kimberly and Caden started running together along a cross country track. When Caden completed the track in 43 minutes, Kimberly had run only
47 of the track. Kimberly’s average speed was 99 m/min slower than Caden’s.
- How long was the cross country track in m?
- Find Kimberly’s average speed in m/min.
(a)
When Caden completed the track:
Caden's distance = 7 u
Kimberly's distance = 4 u
Extra distance covered by Caden
= 7 u - 4 u
= 3 u
3 u = 99 x 43
3 u = 4257
1 u = 4257 ÷ 3 = 1419
Distance of the cross country track
= 7 u
= 7 x 1419
= 9933 m
(b)
Caden's speed
= 9933 ÷ 43
= 231 m/min
Kimberly's speed
= 231 - 99
= 132 m/min
Answer(s): (a) 9933 m; (b) 132 m/min