Gillian and Julian started running together along a cross country track. When Julian completed the track in 36 minutes, Gillian had run only
37 of the track. Gillian’s average speed was 108 m/min slower than Julian’s.
- How long was the cross country track in m?
- Find Gillian’s average speed in m/min.
(a)
When Julian completed the track:
Julian's distance = 7 u
Gillian's distance = 3 u
Extra distance covered by Julian
= 7 u - 3 u
= 4 u
4 u = 108 x 36
4 u = 3888
1 u = 3888 ÷ 4 = 972
Distance of the cross country track
= 7 u
= 7 x 972
= 6804 m
(b)
Julian's speed
= 6804 ÷ 36
= 189 m/min
Gillian's speed
= 189 - 108
= 81 m/min
Answer(s): (a) 6804 m; (b) 81 m/min