Xandra and Oscar started running together along a cross country track. When Oscar completed the track in 26 minutes, Xandra had run only
59 of the track. Xandra’s average speed was 96 m/min slower than Oscar’s.
- How long was the cross country track in m?
- Find Xandra’s average speed in m/min.
(a)
When Oscar completed the track:
Oscar's distance = 9 u
Xandra's distance = 5 u
Extra distance covered by Oscar
= 9 u - 5 u
= 4 u
4 u = 96 x 26
4 u = 2496
1 u = 2496 ÷ 4 = 624
Distance of the cross country track
= 9 u
= 9 x 624
= 5616 m
(b)
Oscar's speed
= 5616 ÷ 26
= 216 m/min
Xandra's speed
= 216 - 96
= 120 m/min
Answer(s): (a) 5616 m; (b) 120 m/min