Gillian and George started running together along a cross country track. When George completed the track in 34 minutes, Gillian had run only
37 of the track. Gillian’s average speed was 96 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 = 7 u
Gillian's distance = 3 u
Extra distance covered by George
= 7 u - 3 u
= 4 u
4 u = 96 x 34
4 u = 3264
1 u = 3264 ÷ 4 = 816
Distance of the cross country track
= 7 u
= 7 x 816
= 5712 m
(b)
George's speed
= 5712 ÷ 34
= 168 m/min
Gillian's speed
= 168 - 96
= 72 m/min
Answer(s): (a) 5712 m; (b) 72 m/min