Opal and Owen started running together along a cross country track. When Owen completed the track in 35 minutes, Opal had run only
49 of the track. Opal’s average speed was 115 m/min slower than Owen’s.
- How long was the cross country track in m?
- Find Opal’s average speed in m/min.
(a)
When Owen completed the track:
Owen's distance = 9 u
Opal's distance = 4 u
Extra distance covered by Owen
= 9 u - 4 u
= 5 u
5 u = 115 x 35
5 u = 4025
1 u = 4025 ÷ 5 = 805
Distance of the cross country track
= 9 u
= 9 x 805
= 7245 m
(b)
Owen's speed
= 7245 ÷ 35
= 207 m/min
Opal's speed
= 207 - 115
= 92 m/min
Answer(s): (a) 7245 m; (b) 92 m/min