Jean and Glen started running together along a cross country track. When Glen completed the track in 29 minutes, Jean had run only
37 of the track. Jean’s average speed was 96 m/min slower than Glen’s.
- How long was the cross country track in m?
- Find Jean’s average speed in m/min.
(a)
When Glen completed the track:
Glen's distance = 7 u
Jean's distance = 3 u
Extra distance covered by Glen
= 7 u - 3 u
= 4 u
4 u = 96 x 29
4 u = 2784
1 u = 2784 ÷ 4 = 696
Distance of the cross country track
= 7 u
= 7 x 696
= 4872 m
(b)
Glen's speed
= 4872 ÷ 29
= 168 m/min
Jean's speed
= 168 - 96
= 72 m/min
Answer(s): (a) 4872 m; (b) 72 m/min