Wendy and Archie started running together along a cross country track. When Archie completed the track in 39 minutes, Wendy had run only
35 of the track. Wendy’s average speed was 104 m/min slower than Archie’s.
- How long was the cross country track in m?
- Find Wendy’s average speed in m/min.
(a)
When Archie completed the track:
Archie's distance = 5 u
Wendy's distance = 3 u
Extra distance covered by Archie
= 5 u - 3 u
= 2 u
2 u = 104 x 39
2 u = 4056
1 u = 4056 ÷ 2 = 2028
Distance of the cross country track
= 5 u
= 5 x 2028
= 10140 m
(b)
Archie's speed
= 10140 ÷ 39
= 260 m/min
Wendy's speed
= 260 - 104
= 156 m/min
Answer(s): (a) 10140 m; (b) 156 m/min