Tiffany and Asher started running together along a cross country track. When Asher completed the track in 24 minutes, Tiffany had run only
13 of the track. Tiffany’s average speed was 114 m/min slower than Asher’s.
- How long was the cross country track in m?
- Find Tiffany’s average speed in m/min.
(a)
When Asher completed the track:
Asher's distance = 3 u
Tiffany's distance = 1 u
Extra distance covered by Asher
= 3 u - 1 u
= 2 u
2 u = 114 x 24
2 u = 2736
1 u = 2736 ÷ 2 = 1368
Distance of the cross country track
= 3 u
= 3 x 1368
= 4104 m
(b)
Asher's speed
= 4104 ÷ 24
= 171 m/min
Tiffany's speed
= 171 - 114
= 57 m/min
Answer(s): (a) 4104 m; (b) 57 m/min