Nicole and Mark started running together along a cross country track. When Mark completed the track in 45 minutes, Nicole had run only
37 of the track. Nicole’s average speed was 104 m/min slower than Mark’s.
- How long was the cross country track in m?
- Find Nicole’s average speed in m/min.
(a)
When Mark completed the track:
Mark's distance = 7 u
Nicole's distance = 3 u
Extra distance covered by Mark
= 7 u - 3 u
= 4 u
4 u = 104 x 45
4 u = 4680
1 u = 4680 ÷ 4 = 1170
Distance of the cross country track
= 7 u
= 7 x 1170
= 8190 m
(b)
Mark's speed
= 8190 ÷ 45
= 182 m/min
Nicole's speed
= 182 - 104
= 78 m/min
Answer(s): (a) 8190 m; (b) 78 m/min