Cindy and Valen started running together along a cross country track. When Valen completed the track in 45 minutes, Cindy had run only
35 of the track. Cindy’s average speed was 102 m/min slower than Valen’s.
- How long was the cross country track in m?
- Find Cindy’s average speed in m/min.
(a)
When Valen completed the track:
Valen's distance = 5 u
Cindy's distance = 3 u
Extra distance covered by Valen
= 5 u - 3 u
= 2 u
2 u = 102 x 45
2 u = 4590
1 u = 4590 ÷ 2 = 2295
Distance of the cross country track
= 5 u
= 5 x 2295
= 11475 m
(b)
Valen's speed
= 11475 ÷ 45
= 255 m/min
Cindy's speed
= 255 - 102
= 153 m/min
Answer(s): (a) 11475 m; (b) 153 m/min