Cindy and Pierre started running together along a cross country track. When Pierre completed the track in 24 minutes, Cindy had run only
37 of the track. Cindy’s average speed was 108 m/min slower than Pierre’s.
- How long was the cross country track in m?
- Find Cindy’s average speed in m/min.
(a)
When Pierre completed the track:
Pierre's distance = 7 u
Cindy's distance = 3 u
Extra distance covered by Pierre
= 7 u - 3 u
= 4 u
4 u = 108 x 24
4 u = 2592
1 u = 2592 ÷ 4 = 648
Distance of the cross country track
= 7 u
= 7 x 648
= 4536 m
(b)
Pierre's speed
= 4536 ÷ 24
= 189 m/min
Cindy's speed
= 189 - 108
= 81 m/min
Answer(s): (a) 4536 m; (b) 81 m/min