Marion and Caden started running together along a cross country track. When Caden completed the track in 25 minutes, Marion had run only
35 of the track. Marion’s average speed was 102 m/min slower than Caden’s.
- How long was the cross country track in m?
- Find Marion’s average speed in m/min.
(a)
When Caden completed the track:
Caden's distance = 5 u
Marion's distance = 3 u
Extra distance covered by Caden
= 5 u - 3 u
= 2 u
2 u = 102 x 25
2 u = 2550
1 u = 2550 ÷ 2 = 1275
Distance of the cross country track
= 5 u
= 5 x 1275
= 6375 m
(b)
Caden's speed
= 6375 ÷ 25
= 255 m/min
Marion's speed
= 255 - 102
= 153 m/min
Answer(s): (a) 6375 m; (b) 153 m/min