Dana and Caden started running together along a cross country track. When Caden completed the track in 43 minutes, Dana had run only
37 of the track. Dana’s average speed was 96 m/min slower than Caden’s.
- How long was the cross country track in m?
- Find Dana’s average speed in m/min.
(a)
When Caden completed the track:
Caden's distance = 7 u
Dana's distance = 3 u
Extra distance covered by Caden
= 7 u - 3 u
= 4 u
4 u = 96 x 43
4 u = 4128
1 u = 4128 ÷ 4 = 1032
Distance of the cross country track
= 7 u
= 7 x 1032
= 7224 m
(b)
Caden's speed
= 7224 ÷ 43
= 168 m/min
Dana's speed
= 168 - 96
= 72 m/min
Answer(s): (a) 7224 m; (b) 72 m/min