Tina and Vincent started running together along a cross country track. When Vincent completed the track in 29 minutes, Tina had run only
35 of the track. Tina’s average speed was 96 m/min slower than Vincent’s.
- How long was the cross country track in m?
- Find Tina’s average speed in m/min.
(a)
When Vincent completed the track:
Vincent's distance = 5 u
Tina's distance = 3 u
Extra distance covered by Vincent
= 5 u - 3 u
= 2 u
2 u = 96 x 29
2 u = 2784
1 u = 2784 ÷ 2 = 1392
Distance of the cross country track
= 5 u
= 5 x 1392
= 6960 m
(b)
Vincent's speed
= 6960 ÷ 29
= 240 m/min
Tina's speed
= 240 - 96
= 144 m/min
Answer(s): (a) 6960 m; (b) 144 m/min