Fiona and Archie started running together along a cross country track. When Archie completed the track in 21 minutes, Fiona had run only
47 of the track. Fiona’s average speed was 99 m/min slower than Archie’s.
- How long was the cross country track in m?
- Find Fiona’s average speed in m/min.
(a)
When Archie completed the track:
Archie's distance = 7 u
Fiona's distance = 4 u
Extra distance covered by Archie
= 7 u - 4 u
= 3 u
3 u = 99 x 21
3 u = 2079
1 u = 2079 ÷ 3 = 693
Distance of the cross country track
= 7 u
= 7 x 693
= 4851 m
(b)
Archie's speed
= 4851 ÷ 21
= 231 m/min
Fiona's speed
= 231 - 99
= 132 m/min
Answer(s): (a) 4851 m; (b) 132 m/min