Tammy and Oscar started running together along a cross country track. When Oscar completed the track in 37 minutes, Tammy had run only
49 of the track. Tammy’s average speed was 105 m/min slower than Oscar’s.
- How long was the cross country track in m?
- Find Tammy’s average speed in m/min.
(a)
When Oscar completed the track:
Oscar's distance = 9 u
Tammy's distance = 4 u
Extra distance covered by Oscar
= 9 u - 4 u
= 5 u
5 u = 105 x 37
5 u = 3885
1 u = 3885 ÷ 5 = 777
Distance of the cross country track
= 9 u
= 9 x 777
= 6993 m
(b)
Oscar's speed
= 6993 ÷ 37
= 189 m/min
Tammy's speed
= 189 - 105
= 84 m/min
Answer(s): (a) 6993 m; (b) 84 m/min