Roshel and Archie started running together along a cross country track. When Archie completed the track in 41 minutes, Roshel had run only
47 of the track. Roshel’s average speed was 111 m/min slower than Archie’s.
- How long was the cross country track in m?
- Find Roshel’s average speed in m/min.
(a)
When Archie completed the track:
Archie's distance = 7 u
Roshel's distance = 4 u
Extra distance covered by Archie
= 7 u - 4 u
= 3 u
3 u = 111 x 41
3 u = 4551
1 u = 4551 ÷ 3 = 1517
Distance of the cross country track
= 7 u
= 7 x 1517
= 10619 m
(b)
Archie's speed
= 10619 ÷ 41
= 259 m/min
Roshel's speed
= 259 - 111
= 148 m/min
Answer(s): (a) 10619 m; (b) 148 m/min