Jean and Oscar started running together along a cross country track. When Oscar completed the track in 24 minutes, Jean had run only
37 of the track. Jean’s average speed was 100 m/min slower than Oscar’s.
- How long was the cross country track in m?
- Find Jean’s average speed in m/min.
(a)
When Oscar completed the track:
Oscar's distance = 7 u
Jean's distance = 3 u
Extra distance covered by Oscar
= 7 u - 3 u
= 4 u
4 u = 100 x 24
4 u = 2400
1 u = 2400 ÷ 4 = 600
Distance of the cross country track
= 7 u
= 7 x 600
= 4200 m
(b)
Oscar's speed
= 4200 ÷ 24
= 175 m/min
Jean's speed
= 175 - 100
= 75 m/min
Answer(s): (a) 4200 m; (b) 75 m/min