Lucy and Sean started running together along a cross country track. When Sean completed the track in 22 minutes, Lucy had run only
35 of the track. Lucy’s average speed was 104 m/min slower than Sean’s.
- How long was the cross country track in m?
- Find Lucy’s average speed in m/min.
(a)
When Sean completed the track:
Sean's distance = 5 u
Lucy's distance = 3 u
Extra distance covered by Sean
= 5 u - 3 u
= 2 u
2 u = 104 x 22
2 u = 2288
1 u = 2288 ÷ 2 = 1144
Distance of the cross country track
= 5 u
= 5 x 1144
= 5720 m
(b)
Sean's speed
= 5720 ÷ 22
= 260 m/min
Lucy's speed
= 260 - 104
= 156 m/min
Answer(s): (a) 5720 m; (b) 156 m/min