Irene and Jeremy started running together along a cross country track. When Jeremy completed the track in 41 minutes, Irene had run only
49 of the track. Irene’s average speed was 95 m/min slower than Jeremy’s.
- How long was the cross country track in m?
- Find Irene’s average speed in m/min.
(a)
When Jeremy completed the track:
Jeremy's distance = 9 u
Irene's distance = 4 u
Extra distance covered by Jeremy
= 9 u - 4 u
= 5 u
5 u = 95 x 41
5 u = 3895
1 u = 3895 ÷ 5 = 779
Distance of the cross country track
= 9 u
= 9 x 779
= 7011 m
(b)
Jeremy's speed
= 7011 ÷ 41
= 171 m/min
Irene's speed
= 171 - 95
= 76 m/min
Answer(s): (a) 7011 m; (b) 76 m/min