Tiffany and Riordan started running together along a cross country track. When Riordan completed the track in 46 minutes, Tiffany had run only
49 of the track. Tiffany’s average speed was 95 m/min slower than Riordan’s.
- How long was the cross country track in m?
- Find Tiffany’s average speed in m/min.
(a)
When Riordan completed the track:
Riordan's distance = 9 u
Tiffany's distance = 4 u
Extra distance covered by Riordan
= 9 u - 4 u
= 5 u
5 u = 95 x 46
5 u = 4370
1 u = 4370 ÷ 5 = 874
Distance of the cross country track
= 9 u
= 9 x 874
= 7866 m
(b)
Riordan's speed
= 7866 ÷ 46
= 171 m/min
Tiffany's speed
= 171 - 95
= 76 m/min
Answer(s): (a) 7866 m; (b) 76 m/min