Nicole and Mark started running together along a cross country track. When Mark completed the track in 23 minutes, Nicole had run only
47 of the track. Nicole’s average speed was 96 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 = 4 u
Extra distance covered by Mark
= 7 u - 4 u
= 3 u
3 u = 96 x 23
3 u = 2208
1 u = 2208 ÷ 3 = 736
Distance of the cross country track
= 7 u
= 7 x 736
= 5152 m
(b)
Mark's speed
= 5152 ÷ 23
= 224 m/min
Nicole's speed
= 224 - 96
= 128 m/min
Answer(s): (a) 5152 m; (b) 128 m/min