Cathy and Neave started running together along a cross country track. When Neave completed the track in 34 minutes, Cathy had run only
37 of the track. Cathy’s average speed was 96 m/min slower than Neave’s.
- How long was the cross country track in m?
- Find Cathy’s average speed in m/min.
(a)
When Neave completed the track:
Neave's distance = 7 u
Cathy's distance = 3 u
Extra distance covered by Neave
= 7 u - 3 u
= 4 u
4 u = 96 x 34
4 u = 3264
1 u = 3264 ÷ 4 = 816
Distance of the cross country track
= 7 u
= 7 x 816
= 5712 m
(b)
Neave's speed
= 5712 ÷ 34
= 168 m/min
Cathy's speed
= 168 - 96
= 72 m/min
Answer(s): (a) 5712 m; (b) 72 m/min