Yoko and Archie started running together along a cross country track. When Archie completed the track in 46 minutes, Yoko had run only
37 of the track. Yoko’s average speed was 104 m/min slower than Archie’s.
- How long was the cross country track in m?
- Find Yoko’s average speed in m/min.
(a)
When Archie completed the track:
Archie's distance = 7 u
Yoko's distance = 3 u
Extra distance covered by Archie
= 7 u - 3 u
= 4 u
4 u = 104 x 46
4 u = 4784
1 u = 4784 ÷ 4 = 1196
Distance of the cross country track
= 7 u
= 7 x 1196
= 8372 m
(b)
Archie's speed
= 8372 ÷ 46
= 182 m/min
Yoko's speed
= 182 - 104
= 78 m/min
Answer(s): (a) 8372 m; (b) 78 m/min