Emily and Liam started running together along a cross country track. When Liam completed the track in 29 minutes, Emily had run only
38 of the track. Emily’s average speed was 115 m/min slower than Liam’s.
- How long was the cross country track in m?
- Find Emily’s average speed in m/min.
(a)
When Liam completed the track:
Liam's distance = 8 u
Emily's distance = 3 u
Extra distance covered by Liam
= 8 u - 3 u
= 5 u
5 u = 115 x 29
5 u = 3335
1 u = 3335 ÷ 5 = 667
Distance of the cross country track
= 8 u
= 8 x 667
= 5336 m
(b)
Liam's speed
= 5336 ÷ 29
= 184 m/min
Emily's speed
= 184 - 115
= 69 m/min
Answer(s): (a) 5336 m; (b) 69 m/min