Winnie and Brandon started running together along a cross country track. When Brandon completed the track in 22 minutes, Winnie had run only
35 of the track. Winnie’s average speed was 96 m/min slower than Brandon’s.
- How long was the cross country track in m?
- Find Winnie’s average speed in m/min.
(a)
When Brandon completed the track:
Brandon's distance = 5 u
Winnie's distance = 3 u
Extra distance covered by Brandon
= 5 u - 3 u
= 2 u
2 u = 96 x 22
2 u = 2112
1 u = 2112 ÷ 2 = 1056
Distance of the cross country track
= 5 u
= 5 x 1056
= 5280 m
(b)
Brandon's speed
= 5280 ÷ 22
= 240 m/min
Winnie's speed
= 240 - 96
= 144 m/min
Answer(s): (a) 5280 m; (b) 144 m/min