Gillian and George started running together along a cross country track. When George completed the track in 50 minutes, Gillian had run only
59 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 = 9 u
Gillian's distance = 5 u
Extra distance covered by George
= 9 u - 5 u
= 4 u
4 u = 96 x 50
4 u = 4800
1 u = 4800 ÷ 4 = 1200
Distance of the cross country track
= 9 u
= 9 x 1200
= 10800 m
(b)
George's speed
= 10800 ÷ 50
= 216 m/min
Gillian's speed
= 216 - 96
= 120 m/min
Answer(s): (a) 10800 m; (b) 120 m/min