Cindy and Fabian started running together along a cross country track. When Fabian completed the track in 20 minutes, Cindy had run only
35 of the track. Cindy’s average speed was 106 m/min slower than Fabian’s.
- How long was the cross country track in m?
- Find Cindy’s average speed in m/min.
(a)
When Fabian completed the track:
Fabian's distance = 5 u
Cindy's distance = 3 u
Extra distance covered by Fabian
= 5 u - 3 u
= 2 u
2 u = 106 x 20
2 u = 2120
1 u = 2120 ÷ 2 = 1060
Distance of the cross country track
= 5 u
= 5 x 1060
= 5300 m
(b)
Fabian's speed
= 5300 ÷ 20
= 265 m/min
Cindy's speed
= 265 - 106
= 159 m/min
Answer(s): (a) 5300 m; (b) 159 m/min