Irene and Archie started running together along a cross country track. When Archie completed the track in 22 minutes, Irene had run only
59 of the track. Irene’s average speed was 104 m/min slower than Archie’s.
- How long was the cross country track in m?
- Find Irene’s average speed in m/min.
(a)
When Archie completed the track:
Archie's distance = 9 u
Irene's distance = 5 u
Extra distance covered by Archie
= 9 u - 5 u
= 4 u
4 u = 104 x 22
4 u = 2288
1 u = 2288 ÷ 4 = 572
Distance of the cross country track
= 9 u
= 9 x 572
= 5148 m
(b)
Archie's speed
= 5148 ÷ 22
= 234 m/min
Irene's speed
= 234 - 104
= 130 m/min
Answer(s): (a) 5148 m; (b) 130 m/min