Lynn and Zeph started running together along a cross country track. When Zeph completed the track in 45 minutes, Lynn had run only
47 of the track. Lynn’s average speed was 111 m/min slower than Zeph’s.
- How long was the cross country track in m?
- Find Lynn’s average speed in m/min.
(a)
When Zeph completed the track:
Zeph's distance = 7 u
Lynn's distance = 4 u
Extra distance covered by Zeph
= 7 u - 4 u
= 3 u
3 u = 111 x 45
3 u = 4995
1 u = 4995 ÷ 3 = 1665
Distance of the cross country track
= 7 u
= 7 x 1665
= 11655 m
(b)
Zeph's speed
= 11655 ÷ 45
= 259 m/min
Lynn's speed
= 259 - 111
= 148 m/min
Answer(s): (a) 11655 m; (b) 148 m/min