Tammy and Albert started running together along a cross country track. When Albert completed the track in 38 minutes, Tammy had run only
35 of the track. Tammy’s average speed was 106 m/min slower than Albert’s.
- How long was the cross country track in m?
- Find Tammy’s average speed in m/min.
(a)
When Albert completed the track:
Albert's distance = 5 u
Tammy's distance = 3 u
Extra distance covered by Albert
= 5 u - 3 u
= 2 u
2 u = 106 x 38
2 u = 4028
1 u = 4028 ÷ 2 = 2014
Distance of the cross country track
= 5 u
= 5 x 2014
= 10070 m
(b)
Albert's speed
= 10070 ÷ 38
= 265 m/min
Tammy's speed
= 265 - 106
= 159 m/min
Answer(s): (a) 10070 m; (b) 159 m/min