Natalie and Seth started running together along a cross country track. When Seth completed the track in 37 minutes, Natalie had run only
59 of the track. Natalie’s average speed was 104 m/min slower than Seth’s.
- How long was the cross country track in m?
- Find Natalie’s average speed in m/min.
(a)
When Seth completed the track:
Seth's distance = 9 u
Natalie's distance = 5 u
Extra distance covered by Seth
= 9 u - 5 u
= 4 u
4 u = 104 x 37
4 u = 3848
1 u = 3848 ÷ 4 = 962
Distance of the cross country track
= 9 u
= 9 x 962
= 8658 m
(b)
Seth's speed
= 8658 ÷ 37
= 234 m/min
Natalie's speed
= 234 - 104
= 130 m/min
Answer(s): (a) 8658 m; (b) 130 m/min