Marion and Oscar started running together along a cross country track. When Oscar completed the track in 47 minutes, Marion had run only
35 of the track. Marion’s average speed was 104 m/min slower than Oscar’s.
- How long was the cross country track in m?
- Find Marion’s average speed in m/min.
(a)
When Oscar completed the track:
Oscar's distance = 5 u
Marion's distance = 3 u
Extra distance covered by Oscar
= 5 u - 3 u
= 2 u
2 u = 104 x 47
2 u = 4888
1 u = 4888 ÷ 2 = 2444
Distance of the cross country track
= 5 u
= 5 x 2444
= 12220 m
(b)
Oscar's speed
= 12220 ÷ 47
= 260 m/min
Marion's speed
= 260 - 104
= 156 m/min
Answer(s): (a) 12220 m; (b) 156 m/min