Natalie and Jenson started running together along a cross country track. When Jenson completed the track in 47 minutes, Natalie had run only
13 of the track. Natalie’s average speed was 110 m/min slower than Jenson’s.
- How long was the cross country track in m?
- Find Natalie’s average speed in m/min.
(a)
When Jenson completed the track:
Jenson's distance = 3 u
Natalie's distance = 1 u
Extra distance covered by Jenson
= 3 u - 1 u
= 2 u
2 u = 110 x 47
2 u = 5170
1 u = 5170 ÷ 2 = 2585
Distance of the cross country track
= 3 u
= 3 x 2585
= 7755 m
(b)
Jenson's speed
= 7755 ÷ 47
= 165 m/min
Natalie's speed
= 165 - 110
= 55 m/min
Answer(s): (a) 7755 m; (b) 55 m/min