Raeann and Howard started running together along a cross country track. When Howard completed the track in 42 minutes, Raeann had run only
49 of the track. Raeann’s average speed was 115 m/min slower than Howard’s.
- How long was the cross country track in m?
- Find Raeann’s average speed in m/min.
(a)
When Howard completed the track:
Howard's distance = 9 u
Raeann's distance = 4 u
Extra distance covered by Howard
= 9 u - 4 u
= 5 u
5 u = 115 x 42
5 u = 4830
1 u = 4830 ÷ 5 = 966
Distance of the cross country track
= 9 u
= 9 x 966
= 8694 m
(b)
Howard's speed
= 8694 ÷ 42
= 207 m/min
Raeann's speed
= 207 - 115
= 92 m/min
Answer(s): (a) 8694 m; (b) 92 m/min