Victoria and Oscar started running together along a cross country track. When Oscar completed the track in 21 minutes, Victoria had run only
35 of the track. Victoria’s average speed was 102 m/min slower than Oscar’s.
- How long was the cross country track in m?
- Find Victoria’s average speed in m/min.
(a)
When Oscar completed the track:
Oscar's distance = 5 u
Victoria's distance = 3 u
Extra distance covered by Oscar
= 5 u - 3 u
= 2 u
2 u = 102 x 21
2 u = 2142
1 u = 2142 ÷ 2 = 1071
Distance of the cross country track
= 5 u
= 5 x 1071
= 5355 m
(b)
Oscar's speed
= 5355 ÷ 21
= 255 m/min
Victoria's speed
= 255 - 102
= 153 m/min
Answer(s): (a) 5355 m; (b) 153 m/min