Lucy and Oliver started running together along a cross country track. When Oliver completed the track in 25 minutes, Lucy had run only
59 of the track. Lucy’s average speed was 108 m/min slower than Oliver’s.
- How long was the cross country track in m?
- Find Lucy’s average speed in m/min.
(a)
When Oliver completed the track:
Oliver's distance = 9 u
Lucy's distance = 5 u
Extra distance covered by Oliver
= 9 u - 5 u
= 4 u
4 u = 108 x 25
4 u = 2700
1 u = 2700 ÷ 4 = 675
Distance of the cross country track
= 9 u
= 9 x 675
= 6075 m
(b)
Oliver's speed
= 6075 ÷ 25
= 243 m/min
Lucy's speed
= 243 - 108
= 135 m/min
Answer(s): (a) 6075 m; (b) 135 m/min