Nora and Oliver started running together along a cross country track. When Oliver completed the track in 40 minutes, Nora had run only
49 of the track. Nora’s average speed was 115 m/min slower than Oliver’s.
- How long was the cross country track in m?
- Find Nora’s average speed in m/min.
(a)
When Oliver completed the track:
Oliver's distance = 9 u
Nora's distance = 4 u
Extra distance covered by Oliver
= 9 u - 4 u
= 5 u
5 u = 115 x 40
5 u = 4600
1 u = 4600 ÷ 5 = 920
Distance of the cross country track
= 9 u
= 9 x 920
= 8280 m
(b)
Oliver's speed
= 8280 ÷ 40
= 207 m/min
Nora's speed
= 207 - 115
= 92 m/min
Answer(s): (a) 8280 m; (b) 92 m/min