Dana and Xavier started running together along a cross country track. When Xavier completed the track in 50 minutes, Dana had run only
58 of the track. Dana’s average speed was 96 m/min slower than Xavier’s.
- How long was the cross country track in m?
- Find Dana’s average speed in m/min.
(a)
When Xavier completed the track:
Xavier's distance = 8 u
Dana's distance = 5 u
Extra distance covered by Xavier
= 8 u - 5 u
= 3 u
3 u = 96 x 50
3 u = 4800
1 u = 4800 ÷ 3 = 1600
Distance of the cross country track
= 8 u
= 8 x 1600
= 12800 m
(b)
Xavier's speed
= 12800 ÷ 50
= 256 m/min
Dana's speed
= 256 - 96
= 160 m/min
Answer(s): (a) 12800 m; (b) 160 m/min