Nicole and Luis started running together along a cross country track. When Luis completed the track in 33 minutes, Nicole had run only
59 of the track. Nicole’s average speed was 96 m/min slower than Luis’s.
- How long was the cross country track in m?
- Find Nicole’s average speed in m/min.
(a)
When Luis completed the track:
Luis's distance = 9 u
Nicole's distance = 5 u
Extra distance covered by Luis
= 9 u - 5 u
= 4 u
4 u = 96 x 33
4 u = 3168
1 u = 3168 ÷ 4 = 792
Distance of the cross country track
= 9 u
= 9 x 792
= 7128 m
(b)
Luis's speed
= 7128 ÷ 33
= 216 m/min
Nicole's speed
= 216 - 96
= 120 m/min
Answer(s): (a) 7128 m; (b) 120 m/min