Shiyun and Sean started running together along a cross country track. When Sean completed the track in 22 minutes, Shiyun had run only
47 of the track. Shiyun’s average speed was 114 m/min slower than Sean’s.
- How long was the cross country track in m?
- Find Shiyun’s average speed in m/min.
(a)
When Sean completed the track:
Sean's distance = 7 u
Shiyun's distance = 4 u
Extra distance covered by Sean
= 7 u - 4 u
= 3 u
3 u = 114 x 22
3 u = 2508
1 u = 2508 ÷ 3 = 836
Distance of the cross country track
= 7 u
= 7 x 836
= 5852 m
(b)
Sean's speed
= 5852 ÷ 22
= 266 m/min
Shiyun's speed
= 266 - 114
= 152 m/min
Answer(s): (a) 5852 m; (b) 152 m/min