Kimberly and Asher started running together along a cross country track. When Asher completed the track in 24 minutes, Kimberly had run only
47 of the track. Kimberly’s average speed was 102 m/min slower than Asher’s.
- How long was the cross country track in m?
- Find Kimberly’s average speed in m/min.
(a)
When Asher completed the track:
Asher's distance = 7 u
Kimberly's distance = 4 u
Extra distance covered by Asher
= 7 u - 4 u
= 3 u
3 u = 102 x 24
3 u = 2448
1 u = 2448 ÷ 3 = 816
Distance of the cross country track
= 7 u
= 7 x 816
= 5712 m
(b)
Asher's speed
= 5712 ÷ 24
= 238 m/min
Kimberly's speed
= 238 - 102
= 136 m/min
Answer(s): (a) 5712 m; (b) 136 m/min