Julie and Howard started running together along a cross country track. When Howard completed the track in 37 minutes, Julie had run only
38 of the track. Julie’s average speed was 105 m/min slower than Howard’s.
- How long was the cross country track in m?
- Find Julie’s average speed in m/min.
(a)
When Howard completed the track:
Howard's distance = 8 u
Julie's distance = 3 u
Extra distance covered by Howard
= 8 u - 3 u
= 5 u
5 u = 105 x 37
5 u = 3885
1 u = 3885 ÷ 5 = 777
Distance of the cross country track
= 8 u
= 8 x 777
= 6216 m
(b)
Howard's speed
= 6216 ÷ 37
= 168 m/min
Julie's speed
= 168 - 105
= 63 m/min
Answer(s): (a) 6216 m; (b) 63 m/min