Shannon and Perry started running together along a cross country track. When Perry completed the track in 50 minutes, Shannon had run only
35 of the track. Shannon’s average speed was 104 m/min slower than Perry’s.
- How long was the cross country track in m?
- Find Shannon’s average speed in m/min.
(a)
When Perry completed the track:
Perry's distance = 5 u
Shannon's distance = 3 u
Extra distance covered by Perry
= 5 u - 3 u
= 2 u
2 u = 104 x 50
2 u = 5200
1 u = 5200 ÷ 2 = 2600
Distance of the cross country track
= 5 u
= 5 x 2600
= 13000 m
(b)
Perry's speed
= 13000 ÷ 50
= 260 m/min
Shannon's speed
= 260 - 104
= 156 m/min
Answer(s): (a) 13000 m; (b) 156 m/min