Lucy and Owen started running together along a cross country track. When Owen completed the track in 25 minutes, Lucy had run only
13 of the track. Lucy’s average speed was 100 m/min slower than Owen’s.
- How long was the cross country track in m?
- Find Lucy’s average speed in m/min.
(a)
When Owen completed the track:
Owen's distance = 3 u
Lucy's distance = 1 u
Extra distance covered by Owen
= 3 u - 1 u
= 2 u
2 u = 100 x 25
2 u = 2500
1 u = 2500 ÷ 2 = 1250
Distance of the cross country track
= 3 u
= 3 x 1250
= 3750 m
(b)
Owen's speed
= 3750 ÷ 25
= 150 m/min
Lucy's speed
= 150 - 100
= 50 m/min
Answer(s): (a) 3750 m; (b) 50 m/min