Kimberly and Seth started running together along a cross country track. When Seth completed the track in 27 minutes, Kimberly had run only
35 of the track. Kimberly’s average speed was 102 m/min slower than Seth’s.
- How long was the cross country track in m?
- Find Kimberly’s average speed in m/min.
(a)
When Seth completed the track:
Seth's distance = 5 u
Kimberly's distance = 3 u
Extra distance covered by Seth
= 5 u - 3 u
= 2 u
2 u = 102 x 27
2 u = 2754
1 u = 2754 ÷ 2 = 1377
Distance of the cross country track
= 5 u
= 5 x 1377
= 6885 m
(b)
Seth's speed
= 6885 ÷ 27
= 255 m/min
Kimberly's speed
= 255 - 102
= 153 m/min
Answer(s): (a) 6885 m; (b) 153 m/min