Lucy and Sean started running together along a cross country track. When Sean completed the track in 44 minutes, Lucy had run only
47 of the track. Lucy’s average speed was 102 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 = 7 u
Lucy's distance = 4 u
Extra distance covered by Sean
= 7 u - 4 u
= 3 u
3 u = 102 x 44
3 u = 4488
1 u = 4488 ÷ 3 = 1496
Distance of the cross country track
= 7 u
= 7 x 1496
= 10472 m
(b)
Sean's speed
= 10472 ÷ 44
= 238 m/min
Lucy's speed
= 238 - 102
= 136 m/min
Answer(s): (a) 10472 m; (b) 136 m/min