Lucy and Zeph started running together along a cross country track. When Zeph completed the track in 45 minutes, Lucy had run only
59 of the track. Lucy’s average speed was 96 m/min slower than Zeph’s.
- How long was the cross country track in m?
- Find Lucy’s average speed in m/min.
(a)
When Zeph completed the track:
Zeph's distance = 9 u
Lucy's distance = 5 u
Extra distance covered by Zeph
= 9 u - 5 u
= 4 u
4 u = 96 x 45
4 u = 4320
1 u = 4320 ÷ 4 = 1080
Distance of the cross country track
= 9 u
= 9 x 1080
= 9720 m
(b)
Zeph's speed
= 9720 ÷ 45
= 216 m/min
Lucy's speed
= 216 - 96
= 120 m/min
Answer(s): (a) 9720 m; (b) 120 m/min