Lucy and Reggie started running together along a cross country track. When Reggie completed the track in 38 minutes, Lucy had run only
35 of the track. Lucy’s average speed was 96 m/min slower than Reggie’s.
- How long was the cross country track in m?
- Find Lucy’s average speed in m/min.
(a)
When Reggie completed the track:
Reggie's distance = 5 u
Lucy's distance = 3 u
Extra distance covered by Reggie
= 5 u - 3 u
= 2 u
2 u = 96 x 38
2 u = 3648
1 u = 3648 ÷ 2 = 1824
Distance of the cross country track
= 5 u
= 5 x 1824
= 9120 m
(b)
Reggie's speed
= 9120 ÷ 38
= 240 m/min
Lucy's speed
= 240 - 96
= 144 m/min
Answer(s): (a) 9120 m; (b) 144 m/min