Kimberly and Zeph started running together along a cross country track. When Zeph completed the track in 32 minutes, Kimberly had run only
37 of the track. Kimberly’s average speed was 100 m/min slower than Zeph’s.
- How long was the cross country track in m?
- Find Kimberly’s average speed in m/min.
(a)
When Zeph completed the track:
Zeph's distance = 7 u
Kimberly's distance = 3 u
Extra distance covered by Zeph
= 7 u - 3 u
= 4 u
4 u = 100 x 32
4 u = 3200
1 u = 3200 ÷ 4 = 800
Distance of the cross country track
= 7 u
= 7 x 800
= 5600 m
(b)
Zeph's speed
= 5600 ÷ 32
= 175 m/min
Kimberly's speed
= 175 - 100
= 75 m/min
Answer(s): (a) 5600 m; (b) 75 m/min