Dana and Oscar started running together along a cross country track. When Oscar completed the track in 43 minutes, Dana had run only
49 of the track. Dana’s average speed was 95 m/min slower than Oscar’s.
- How long was the cross country track in m?
- Find Dana’s average speed in m/min.
(a)
When Oscar completed the track:
Oscar's distance = 9 u
Dana's distance = 4 u
Extra distance covered by Oscar
= 9 u - 4 u
= 5 u
5 u = 95 x 43
5 u = 4085
1 u = 4085 ÷ 5 = 817
Distance of the cross country track
= 9 u
= 9 x 817
= 7353 m
(b)
Oscar's speed
= 7353 ÷ 43
= 171 m/min
Dana's speed
= 171 - 95
= 76 m/min
Answer(s): (a) 7353 m; (b) 76 m/min