Julie and George started running together along a cross country track. When George completed the track in 48 minutes, Julie had run only
13 of the track. Julie’s average speed was 110 m/min slower than George’s.
- How long was the cross country track in m?
- Find Julie’s average speed in m/min.
(a)
When George completed the track:
George's distance = 3 u
Julie's distance = 1 u
Extra distance covered by George
= 3 u - 1 u
= 2 u
2 u = 110 x 48
2 u = 5280
1 u = 5280 ÷ 2 = 2640
Distance of the cross country track
= 3 u
= 3 x 2640
= 7920 m
(b)
George's speed
= 7920 ÷ 48
= 165 m/min
Julie's speed
= 165 - 110
= 55 m/min
Answer(s): (a) 7920 m; (b) 55 m/min