Raeann and Zeph started running together along a cross country track. When Zeph completed the track in 43 minutes, Raeann had run only
35 of the track. Raeann’s average speed was 98 m/min slower than Zeph’s.
- How long was the cross country track in m?
- Find Raeann’s average speed in m/min.
(a)
When Zeph completed the track:
Zeph's distance = 5 u
Raeann's distance = 3 u
Extra distance covered by Zeph
= 5 u - 3 u
= 2 u
2 u = 98 x 43
2 u = 4214
1 u = 4214 ÷ 2 = 2107
Distance of the cross country track
= 5 u
= 5 x 2107
= 10535 m
(b)
Zeph's speed
= 10535 ÷ 43
= 245 m/min
Raeann's speed
= 245 - 98
= 147 m/min
Answer(s): (a) 10535 m; (b) 147 m/min