Emma and Albert started running together along a cross country track. When Albert completed the track in 30 minutes, Emma had run only
37 of the track. Emma’s average speed was 108 m/min slower than Albert’s.
- How long was the cross country track in m?
- Find Emma’s average speed in m/min.
(a)
When Albert completed the track:
Albert's distance = 7 u
Emma's distance = 3 u
Extra distance covered by Albert
= 7 u - 3 u
= 4 u
4 u = 108 x 30
4 u = 3240
1 u = 3240 ÷ 4 = 810
Distance of the cross country track
= 7 u
= 7 x 810
= 5670 m
(b)
Albert's speed
= 5670 ÷ 30
= 189 m/min
Emma's speed
= 189 - 108
= 81 m/min
Answer(s): (a) 5670 m; (b) 81 m/min