Vanessa and Cody started running together along a cross country track. When Cody completed the track in 44 minutes, Vanessa had run only
38 of the track. Vanessa’s average speed was 105 m/min slower than Cody’s.
- How long was the cross country track in m?
- Find Vanessa’s average speed in m/min.
(a)
When Cody completed the track:
Cody's distance = 8 u
Vanessa's distance = 3 u
Extra distance covered by Cody
= 8 u - 3 u
= 5 u
5 u = 105 x 44
5 u = 4620
1 u = 4620 ÷ 5 = 924
Distance of the cross country track
= 8 u
= 8 x 924
= 7392 m
(b)
Cody's speed
= 7392 ÷ 44
= 168 m/min
Vanessa's speed
= 168 - 105
= 63 m/min
Answer(s): (a) 7392 m; (b) 63 m/min