Shannon and Henry started running together along a cross country track. When Henry completed the track in 23 minutes, Shannon had run only
49 of the track. Shannon’s average speed was 115 m/min slower than Henry’s.
- How long was the cross country track in m?
- Find Shannon’s average speed in m/min.
(a)
When Henry completed the track:
Henry's distance = 9 u
Shannon's distance = 4 u
Extra distance covered by Henry
= 9 u - 4 u
= 5 u
5 u = 115 x 23
5 u = 2645
1 u = 2645 ÷ 5 = 529
Distance of the cross country track
= 9 u
= 9 x 529
= 4761 m
(b)
Henry's speed
= 4761 ÷ 23
= 207 m/min
Shannon's speed
= 207 - 115
= 92 m/min
Answer(s): (a) 4761 m; (b) 92 m/min