Nora and Seth started running together along a cross country track. When Seth completed the track in 39 minutes, Nora had run only
47 of the track. Nora’s average speed was 114 m/min slower than Seth’s.
- How long was the cross country track in m?
- Find Nora’s average speed in m/min.
(a)
When Seth completed the track:
Seth's distance = 7 u
Nora's distance = 4 u
Extra distance covered by Seth
= 7 u - 4 u
= 3 u
3 u = 114 x 39
3 u = 4446
1 u = 4446 ÷ 3 = 1482
Distance of the cross country track
= 7 u
= 7 x 1482
= 10374 m
(b)
Seth's speed
= 10374 ÷ 39
= 266 m/min
Nora's speed
= 266 - 114
= 152 m/min
Answer(s): (a) 10374 m; (b) 152 m/min