Kimberly and Caden started running together along a cross country track. When Caden completed the track in 33 minutes, Kimberly had run only
47 of the track. Kimberly’s average speed was 108 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 = 108 x 33
3 u = 3564
1 u = 3564 ÷ 3 = 1188
Distance of the cross country track
= 7 u
= 7 x 1188
= 8316 m
(b)
Caden's speed
= 8316 ÷ 33
= 252 m/min
Kimberly's speed
= 252 - 108
= 144 m/min
Answer(s): (a) 8316 m; (b) 144 m/min