Min and Dylan started running together along a cross country track. When Dylan completed the track in 46 minutes, Min had run only
13 of the track. Min’s average speed was 112 m/min slower than Dylan’s.
- How long was the cross country track in m?
- Find Min’s average speed in m/min.
(a)
When Dylan completed the track:
Dylan's distance = 3 u
Min's distance = 1 u
Extra distance covered by Dylan
= 3 u - 1 u
= 2 u
2 u = 112 x 46
2 u = 5152
1 u = 5152 ÷ 2 = 2576
Distance of the cross country track
= 3 u
= 3 x 2576
= 7728 m
(b)
Dylan's speed
= 7728 ÷ 46
= 168 m/min
Min's speed
= 168 - 112
= 56 m/min
Answer(s): (a) 7728 m; (b) 56 m/min