Hazel and Pierre started running together along a cross country track. When Pierre completed the track in 50 minutes, Hazel had run only
59 of the track. Hazel’s average speed was 100 m/min slower than Pierre’s.
- How long was the cross country track in m?
- Find Hazel’s average speed in m/min.
(a)
When Pierre completed the track:
Pierre's distance = 9 u
Hazel's distance = 5 u
Extra distance covered by Pierre
= 9 u - 5 u
= 4 u
4 u = 100 x 50
4 u = 5000
1 u = 5000 ÷ 4 = 1250
Distance of the cross country track
= 9 u
= 9 x 1250
= 11250 m
(b)
Pierre's speed
= 11250 ÷ 50
= 225 m/min
Hazel's speed
= 225 - 100
= 125 m/min
Answer(s): (a) 11250 m; (b) 125 m/min