Victoria and Liam started running together along a cross country track. When Liam completed the track in 37 minutes, Victoria had run only
13 of the track. Victoria’s average speed was 114 m/min slower than Liam’s.
- How long was the cross country track in m?
- Find Victoria’s average speed in m/min.
(a)
When Liam completed the track:
Liam's distance = 3 u
Victoria's distance = 1 u
Extra distance covered by Liam
= 3 u - 1 u
= 2 u
2 u = 114 x 37
2 u = 4218
1 u = 4218 ÷ 2 = 2109
Distance of the cross country track
= 3 u
= 3 x 2109
= 6327 m
(b)
Liam's speed
= 6327 ÷ 37
= 171 m/min
Victoria's speed
= 171 - 114
= 57 m/min
Answer(s): (a) 6327 m; (b) 57 m/min