Betty and Cole started running together along a cross country track. When Cole completed the track in 49 minutes, Betty had run only
35 of the track. Betty’s average speed was 104 m/min slower than Cole’s.
- How long was the cross country track in m?
- Find Betty’s average speed in m/min.
(a)
When Cole completed the track:
Cole's distance = 5 u
Betty's distance = 3 u
Extra distance covered by Cole
= 5 u - 3 u
= 2 u
2 u = 104 x 49
2 u = 5096
1 u = 5096 ÷ 2 = 2548
Distance of the cross country track
= 5 u
= 5 x 2548
= 12740 m
(b)
Cole's speed
= 12740 ÷ 49
= 260 m/min
Betty's speed
= 260 - 104
= 156 m/min
Answer(s): (a) 12740 m; (b) 156 m/min