Gillian and George started running together along a cross country track. When George completed the track in 46 minutes, Gillian had run only
35 of the track. Gillian’s average speed was 102 m/min slower than George’s.
- How long was the cross country track in m?
- Find Gillian’s average speed in m/min.
(a)
When George completed the track:
George's distance = 5 u
Gillian's distance = 3 u
Extra distance covered by George
= 5 u - 3 u
= 2 u
2 u = 102 x 46
2 u = 4692
1 u = 4692 ÷ 2 = 2346
Distance of the cross country track
= 5 u
= 5 x 2346
= 11730 m
(b)
George's speed
= 11730 ÷ 46
= 255 m/min
Gillian's speed
= 255 - 102
= 153 m/min
Answer(s): (a) 11730 m; (b) 153 m/min