Winnie and Seth started running together along a cross country track. When Seth completed the track in 48 minutes, Winnie had run only
13 of the track. Winnie’s average speed was 112 m/min slower than Seth’s.
- How long was the cross country track in m?
- Find Winnie’s average speed in m/min.
(a)
When Seth completed the track:
Seth's distance = 3 u
Winnie's distance = 1 u
Extra distance covered by Seth
= 3 u - 1 u
= 2 u
2 u = 112 x 48
2 u = 5376
1 u = 5376 ÷ 2 = 2688
Distance of the cross country track
= 3 u
= 3 x 2688
= 8064 m
(b)
Seth's speed
= 8064 ÷ 48
= 168 m/min
Winnie's speed
= 168 - 112
= 56 m/min
Answer(s): (a) 8064 m; (b) 56 m/min