Wendy and Cody started running together along a cross country track. When Cody completed the track in 31 minutes, Wendy had run only
13 of the track. Wendy’s average speed was 96 m/min slower than Cody’s.
- How long was the cross country track in m?
- Find Wendy’s average speed in m/min.
(a)
When Cody completed the track:
Cody's distance = 3 u
Wendy's distance = 1 u
Extra distance covered by Cody
= 3 u - 1 u
= 2 u
2 u = 96 x 31
2 u = 2976
1 u = 2976 ÷ 2 = 1488
Distance of the cross country track
= 3 u
= 3 x 1488
= 4464 m
(b)
Cody's speed
= 4464 ÷ 31
= 144 m/min
Wendy's speed
= 144 - 96
= 48 m/min
Answer(s): (a) 4464 m; (b) 48 m/min