Min and Riordan started running together along a cross country track. When Riordan completed the track in 31 minutes, Min had run only
49 of the track. Min’s average speed was 95 m/min slower than Riordan’s.
- How long was the cross country track in m?
- Find Min’s average speed in m/min.
(a)
When Riordan completed the track:
Riordan's distance = 9 u
Min's distance = 4 u
Extra distance covered by Riordan
= 9 u - 4 u
= 5 u
5 u = 95 x 31
5 u = 2945
1 u = 2945 ÷ 5 = 589
Distance of the cross country track
= 9 u
= 9 x 589
= 5301 m
(b)
Riordan's speed
= 5301 ÷ 31
= 171 m/min
Min's speed
= 171 - 95
= 76 m/min
Answer(s): (a) 5301 m; (b) 76 m/min