Roshel and Glen started running together along a cross country track. When Glen completed the track in 25 minutes, Roshel had run only
13 of the track. Roshel’s average speed was 114 m/min slower than Glen’s.
- How long was the cross country track in m?
- Find Roshel’s average speed in m/min.
(a)
When Glen completed the track:
Glen's distance = 3 u
Roshel's distance = 1 u
Extra distance covered by Glen
= 3 u - 1 u
= 2 u
2 u = 114 x 25
2 u = 2850
1 u = 2850 ÷ 2 = 1425
Distance of the cross country track
= 3 u
= 3 x 1425
= 4275 m
(b)
Glen's speed
= 4275 ÷ 25
= 171 m/min
Roshel's speed
= 171 - 114
= 57 m/min
Answer(s): (a) 4275 m; (b) 57 m/min