Lucy and Jenson started running together along a cross country track. When Jenson completed the track in 20 minutes, Lucy had run only
49 of the track. Lucy’s average speed was 115 m/min slower than Jenson’s.
- How long was the cross country track in m?
- Find Lucy’s average speed in m/min.
(a)
When Jenson completed the track:
Jenson's distance = 9 u
Lucy's distance = 4 u
Extra distance covered by Jenson
= 9 u - 4 u
= 5 u
5 u = 115 x 20
5 u = 2300
1 u = 2300 ÷ 5 = 460
Distance of the cross country track
= 9 u
= 9 x 460
= 4140 m
(b)
Jenson's speed
= 4140 ÷ 20
= 207 m/min
Lucy's speed
= 207 - 115
= 92 m/min
Answer(s): (a) 4140 m; (b) 92 m/min