Tina and Albert started running together along a cross country track. When Albert completed the track in 38 minutes, Tina had run only
13 of the track. Tina’s average speed was 104 m/min slower than Albert’s.
- How long was the cross country track in m?
- Find Tina’s average speed in m/min.
(a)
When Albert completed the track:
Albert's distance = 3 u
Tina's distance = 1 u
Extra distance covered by Albert
= 3 u - 1 u
= 2 u
2 u = 104 x 38
2 u = 3952
1 u = 3952 ÷ 2 = 1976
Distance of the cross country track
= 3 u
= 3 x 1976
= 5928 m
(b)
Albert's speed
= 5928 ÷ 38
= 156 m/min
Tina's speed
= 156 - 104
= 52 m/min
Answer(s): (a) 5928 m; (b) 52 m/min