Julie and Rael started running together along a cross country track. When Rael completed the track in 47 minutes, Julie had run only
38 of the track. Julie’s average speed was 115 m/min slower than Rael’s.
- How long was the cross country track in m?
- Find Julie’s average speed in m/min.
(a)
When Rael completed the track:
Rael's distance = 8 u
Julie's distance = 3 u
Extra distance covered by Rael
= 8 u - 3 u
= 5 u
5 u = 115 x 47
5 u = 5405
1 u = 5405 ÷ 5 = 1081
Distance of the cross country track
= 8 u
= 8 x 1081
= 8648 m
(b)
Rael's speed
= 8648 ÷ 47
= 184 m/min
Julie's speed
= 184 - 115
= 69 m/min
Answer(s): (a) 8648 m; (b) 69 m/min