Joelle and Luke started running together along a cross country track. When Luke completed the track in 41 minutes, Joelle had run only
13 of the track. Joelle’s average speed was 96 m/min slower than Luke’s.
- How long was the cross country track in m?
- Find Joelle’s average speed in m/min.
(a)
When Luke completed the track:
Luke's distance = 3 u
Joelle's distance = 1 u
Extra distance covered by Luke
= 3 u - 1 u
= 2 u
2 u = 96 x 41
2 u = 3936
1 u = 3936 ÷ 2 = 1968
Distance of the cross country track
= 3 u
= 3 x 1968
= 5904 m
(b)
Luke's speed
= 5904 ÷ 41
= 144 m/min
Joelle's speed
= 144 - 96
= 48 m/min
Answer(s): (a) 5904 m; (b) 48 m/min