Hazel and Billy started running together along a cross country track. When Billy completed the track in 34 minutes, Hazel had run only
35 of the track. Hazel’s average speed was 104 m/min slower than Billy’s.
- How long was the cross country track in m?
- Find Hazel’s average speed in m/min.
(a)
When Billy completed the track:
Billy's distance = 5 u
Hazel's distance = 3 u
Extra distance covered by Billy
= 5 u - 3 u
= 2 u
2 u = 104 x 34
2 u = 3536
1 u = 3536 ÷ 2 = 1768
Distance of the cross country track
= 5 u
= 5 x 1768
= 8840 m
(b)
Billy's speed
= 8840 ÷ 34
= 260 m/min
Hazel's speed
= 260 - 104
= 156 m/min
Answer(s): (a) 8840 m; (b) 156 m/min