Fiona and Oscar started running together along a cross country track. When Oscar completed the track in 29 minutes, Fiona had run only
49 of the track. Fiona’s average speed was 100 m/min slower than Oscar’s.
- How long was the cross country track in m?
- Find Fiona’s average speed in m/min.
(a)
When Oscar completed the track:
Oscar's distance = 9 u
Fiona's distance = 4 u
Extra distance covered by Oscar
= 9 u - 4 u
= 5 u
5 u = 100 x 29
5 u = 2900
1 u = 2900 ÷ 5 = 580
Distance of the cross country track
= 9 u
= 9 x 580
= 5220 m
(b)
Oscar's speed
= 5220 ÷ 29
= 180 m/min
Fiona's speed
= 180 - 100
= 80 m/min
Answer(s): (a) 5220 m; (b) 80 m/min