Hazel and Japheth started running together along a cross country track. When Japheth completed the track in 26 minutes, Hazel had run only
47 of the track. Hazel’s average speed was 102 m/min slower than Japheth’s.
- How long was the cross country track in m?
- Find Hazel’s average speed in m/min.
(a)
When Japheth completed the track:
Japheth's distance = 7 u
Hazel's distance = 4 u
Extra distance covered by Japheth
= 7 u - 4 u
= 3 u
3 u = 102 x 26
3 u = 2652
1 u = 2652 ÷ 3 = 884
Distance of the cross country track
= 7 u
= 7 x 884
= 6188 m
(b)
Japheth's speed
= 6188 ÷ 26
= 238 m/min
Hazel's speed
= 238 - 102
= 136 m/min
Answer(s): (a) 6188 m; (b) 136 m/min