Joelle and Jenson started running together along a cross country track. When Jenson completed the track in 26 minutes, Joelle had run only
49 of the track. Joelle’s average speed was 105 m/min slower than Jenson’s.
- How long was the cross country track in m?
- Find Joelle’s average speed in m/min.
(a)
When Jenson completed the track:
Jenson's distance = 9 u
Joelle's distance = 4 u
Extra distance covered by Jenson
= 9 u - 4 u
= 5 u
5 u = 105 x 26
5 u = 2730
1 u = 2730 ÷ 5 = 546
Distance of the cross country track
= 9 u
= 9 x 546
= 4914 m
(b)
Jenson's speed
= 4914 ÷ 26
= 189 m/min
Joelle's speed
= 189 - 105
= 84 m/min
Answer(s): (a) 4914 m; (b) 84 m/min