Lucy and Lee started running together along a cross country track. When Lee completed the track in 44 minutes, Lucy had run only
13 of the track. Lucy’s average speed was 96 m/min slower than Lee’s.
- How long was the cross country track in m?
- Find Lucy’s average speed in m/min.
(a)
When Lee completed the track:
Lee's distance = 3 u
Lucy's distance = 1 u
Extra distance covered by Lee
= 3 u - 1 u
= 2 u
2 u = 96 x 44
2 u = 4224
1 u = 4224 ÷ 2 = 2112
Distance of the cross country track
= 3 u
= 3 x 2112
= 6336 m
(b)
Lee's speed
= 6336 ÷ 44
= 144 m/min
Lucy's speed
= 144 - 96
= 48 m/min
Answer(s): (a) 6336 m; (b) 48 m/min