Emily and Glen started running together along a cross country track. When Glen completed the track in 28 minutes, Emily had run only
38 of the track. Emily’s average speed was 110 m/min slower than Glen’s.
- How long was the cross country track in m?
- Find Emily’s average speed in m/min.
(a)
When Glen completed the track:
Glen's distance = 8 u
Emily's distance = 3 u
Extra distance covered by Glen
= 8 u - 3 u
= 5 u
5 u = 110 x 28
5 u = 3080
1 u = 3080 ÷ 5 = 616
Distance of the cross country track
= 8 u
= 8 x 616
= 4928 m
(b)
Glen's speed
= 4928 ÷ 28
= 176 m/min
Emily's speed
= 176 - 110
= 66 m/min
Answer(s): (a) 4928 m; (b) 66 m/min