Shiyun and Bryan started running together along a cross country track. When Bryan completed the track in 22 minutes, Shiyun had run only
38 of the track. Shiyun’s average speed was 115 m/min slower than Bryan’s.
- How long was the cross country track in m?
- Find Shiyun’s average speed in m/min.
(a)
When Bryan completed the track:
Bryan's distance = 8 u
Shiyun's distance = 3 u
Extra distance covered by Bryan
= 8 u - 3 u
= 5 u
5 u = 115 x 22
5 u = 2530
1 u = 2530 ÷ 5 = 506
Distance of the cross country track
= 8 u
= 8 x 506
= 4048 m
(b)
Bryan's speed
= 4048 ÷ 22
= 184 m/min
Shiyun's speed
= 184 - 115
= 69 m/min
Answer(s): (a) 4048 m; (b) 69 m/min