Jean and Archie started running together along a cross country track. When Archie completed the track in 35 minutes, Jean had run only
38 of the track. Jean’s average speed was 100 m/min slower than Archie’s.
- How long was the cross country track in m?
- Find Jean’s average speed in m/min.
(a)
When Archie completed the track:
Archie's distance = 8 u
Jean's distance = 3 u
Extra distance covered by Archie
= 8 u - 3 u
= 5 u
5 u = 100 x 35
5 u = 3500
1 u = 3500 ÷ 5 = 700
Distance of the cross country track
= 8 u
= 8 x 700
= 5600 m
(b)
Archie's speed
= 5600 ÷ 35
= 160 m/min
Jean's speed
= 160 - 100
= 60 m/min
Answer(s): (a) 5600 m; (b) 60 m/min