Min and Brandon started running together along a cross country track. When Brandon completed the track in 30 minutes, Min had run only
13 of the track. Min’s average speed was 114 m/min slower than Brandon’s.
- How long was the cross country track in m?
- Find Min’s average speed in m/min.
(a)
When Brandon completed the track:
Brandon's distance = 3 u
Min's distance = 1 u
Extra distance covered by Brandon
= 3 u - 1 u
= 2 u
2 u = 114 x 30
2 u = 3420
1 u = 3420 ÷ 2 = 1710
Distance of the cross country track
= 3 u
= 3 x 1710
= 5130 m
(b)
Brandon's speed
= 5130 ÷ 30
= 171 m/min
Min's speed
= 171 - 114
= 57 m/min
Answer(s): (a) 5130 m; (b) 57 m/min