Victoria and Glen started running together along a cross country track. When Glen completed the track in 30 minutes, Victoria had run only
47 of the track. Victoria’s average speed was 108 m/min slower than Glen’s.
- How long was the cross country track in m?
- Find Victoria’s average speed in m/min.
(a)
When Glen completed the track:
Glen's distance = 7 u
Victoria's distance = 4 u
Extra distance covered by Glen
= 7 u - 4 u
= 3 u
3 u = 108 x 30
3 u = 3240
1 u = 3240 ÷ 3 = 1080
Distance of the cross country track
= 7 u
= 7 x 1080
= 7560 m
(b)
Glen's speed
= 7560 ÷ 30
= 252 m/min
Victoria's speed
= 252 - 108
= 144 m/min
Answer(s): (a) 7560 m; (b) 144 m/min