Wendy and Valen started running together along a cross country track. When Valen completed the track in 34 minutes, Wendy had run only
35 of the track. Wendy’s average speed was 106 m/min slower than Valen’s.
- How long was the cross country track in m?
- Find Wendy’s average speed in m/min.
(a)
When Valen completed the track:
Valen's distance = 5 u
Wendy's distance = 3 u
Extra distance covered by Valen
= 5 u - 3 u
= 2 u
2 u = 106 x 34
2 u = 3604
1 u = 3604 ÷ 2 = 1802
Distance of the cross country track
= 5 u
= 5 x 1802
= 9010 m
(b)
Valen's speed
= 9010 ÷ 34
= 265 m/min
Wendy's speed
= 265 - 106
= 159 m/min
Answer(s): (a) 9010 m; (b) 159 m/min