Tammy and Daniel started running together along a cross country track. When Daniel completed the track in 23 minutes, Tammy had run only
13 of the track. Tammy’s average speed was 106 m/min slower than Daniel’s.
- How long was the cross country track in m?
- Find Tammy’s average speed in m/min.
(a)
When Daniel completed the track:
Daniel's distance = 3 u
Tammy's distance = 1 u
Extra distance covered by Daniel
= 3 u - 1 u
= 2 u
2 u = 106 x 23
2 u = 2438
1 u = 2438 ÷ 2 = 1219
Distance of the cross country track
= 3 u
= 3 x 1219
= 3657 m
(b)
Daniel's speed
= 3657 ÷ 23
= 159 m/min
Tammy's speed
= 159 - 106
= 53 m/min
Answer(s): (a) 3657 m; (b) 53 m/min