Gillian and Vaidev started running together along a cross country track. When Vaidev completed the track in 27 minutes, Gillian had run only
59 of the track. Gillian’s average speed was 96 m/min slower than Vaidev’s.
- How long was the cross country track in m?
- Find Gillian’s average speed in m/min.
(a)
When Vaidev completed the track:
Vaidev's distance = 9 u
Gillian's distance = 5 u
Extra distance covered by Vaidev
= 9 u - 5 u
= 4 u
4 u = 96 x 27
4 u = 2592
1 u = 2592 ÷ 4 = 648
Distance of the cross country track
= 9 u
= 9 x 648
= 5832 m
(b)
Vaidev's speed
= 5832 ÷ 27
= 216 m/min
Gillian's speed
= 216 - 96
= 120 m/min
Answer(s): (a) 5832 m; (b) 120 m/min