Hazel and Bryan started running together along a cross country track. When Bryan completed the track in 20 minutes, Hazel had run only
35 of the track. Hazel’s average speed was 102 m/min slower than Bryan’s.
- How long was the cross country track in m?
- Find Hazel’s average speed in m/min.
(a)
When Bryan completed the track:
Bryan's distance = 5 u
Hazel's distance = 3 u
Extra distance covered by Bryan
= 5 u - 3 u
= 2 u
2 u = 102 x 20
2 u = 2040
1 u = 2040 ÷ 2 = 1020
Distance of the cross country track
= 5 u
= 5 x 1020
= 5100 m
(b)
Bryan's speed
= 5100 ÷ 20
= 255 m/min
Hazel's speed
= 255 - 102
= 153 m/min
Answer(s): (a) 5100 m; (b) 153 m/min