Lucy and Tommy started running together along a cross country track. When Tommy completed the track in 27 minutes, Lucy had run only
38 of the track. Lucy’s average speed was 105 m/min slower than Tommy’s.
- How long was the cross country track in m?
- Find Lucy’s average speed in m/min.
(a)
When Tommy completed the track:
Tommy's distance = 8 u
Lucy's distance = 3 u
Extra distance covered by Tommy
= 8 u - 3 u
= 5 u
5 u = 105 x 27
5 u = 2835
1 u = 2835 ÷ 5 = 567
Distance of the cross country track
= 8 u
= 8 x 567
= 4536 m
(b)
Tommy's speed
= 4536 ÷ 27
= 168 m/min
Lucy's speed
= 168 - 105
= 63 m/min
Answer(s): (a) 4536 m; (b) 63 m/min