Emily and Valen started running together along a cross country track. When Valen completed the track in 33 minutes, Emily had run only
59 of the track. Emily’s average speed was 104 m/min slower than Valen’s.
- How long was the cross country track in m?
- Find Emily’s average speed in m/min.
(a)
When Valen completed the track:
Valen's distance = 9 u
Emily's distance = 5 u
Extra distance covered by Valen
= 9 u - 5 u
= 4 u
4 u = 104 x 33
4 u = 3432
1 u = 3432 ÷ 4 = 858
Distance of the cross country track
= 9 u
= 9 x 858
= 7722 m
(b)
Valen's speed
= 7722 ÷ 33
= 234 m/min
Emily's speed
= 234 - 104
= 130 m/min
Answer(s): (a) 7722 m; (b) 130 m/min