Shiyun and Simon started running together along a cross country track. When Simon completed the track in 28 minutes, Shiyun had run only
47 of the track. Shiyun’s average speed was 96 m/min slower than Simon’s.
- How long was the cross country track in m?
- Find Shiyun’s average speed in m/min.
(a)
When Simon completed the track:
Simon's distance = 7 u
Shiyun's distance = 4 u
Extra distance covered by Simon
= 7 u - 4 u
= 3 u
3 u = 96 x 28
3 u = 2688
1 u = 2688 ÷ 3 = 896
Distance of the cross country track
= 7 u
= 7 x 896
= 6272 m
(b)
Simon's speed
= 6272 ÷ 28
= 224 m/min
Shiyun's speed
= 224 - 96
= 128 m/min
Answer(s): (a) 6272 m; (b) 128 m/min