Winnie and Charlie started running together along a cross country track. When Charlie completed the track in 32 minutes, Winnie had run only
47 of the track. Winnie’s average speed was 96 m/min slower than Charlie’s.
- How long was the cross country track in m?
- Find Winnie’s average speed in m/min.
(a)
When Charlie completed the track:
Charlie's distance = 7 u
Winnie's distance = 4 u
Extra distance covered by Charlie
= 7 u - 4 u
= 3 u
3 u = 96 x 32
3 u = 3072
1 u = 3072 ÷ 3 = 1024
Distance of the cross country track
= 7 u
= 7 x 1024
= 7168 m
(b)
Charlie's speed
= 7168 ÷ 32
= 224 m/min
Winnie's speed
= 224 - 96
= 128 m/min
Answer(s): (a) 7168 m; (b) 128 m/min