Tiffany and Carl started running together along a cross country track. When Carl completed the track in 31 minutes, Tiffany had run only
47 of the track. Tiffany’s average speed was 99 m/min slower than Carl’s.
- How long was the cross country track in m?
- Find Tiffany’s average speed in m/min.
(a)
When Carl completed the track:
Carl's distance = 7 u
Tiffany's distance = 4 u
Extra distance covered by Carl
= 7 u - 4 u
= 3 u
3 u = 99 x 31
3 u = 3069
1 u = 3069 ÷ 3 = 1023
Distance of the cross country track
= 7 u
= 7 x 1023
= 7161 m
(b)
Carl's speed
= 7161 ÷ 31
= 231 m/min
Tiffany's speed
= 231 - 99
= 132 m/min
Answer(s): (a) 7161 m; (b) 132 m/min