Jane and Luke started running together along a cross country track. When Luke completed the track in 47 minutes, Jane had run only
49 of the track. Jane’s average speed was 105 m/min slower than Luke’s.
- How long was the cross country track in m?
- Find Jane’s average speed in m/min.
(a)
When Luke completed the track:
Luke's distance = 9 u
Jane's distance = 4 u
Extra distance covered by Luke
= 9 u - 4 u
= 5 u
5 u = 105 x 47
5 u = 4935
1 u = 4935 ÷ 5 = 987
Distance of the cross country track
= 9 u
= 9 x 987
= 8883 m
(b)
Luke's speed
= 8883 ÷ 47
= 189 m/min
Jane's speed
= 189 - 105
= 84 m/min
Answer(s): (a) 8883 m; (b) 84 m/min