Zara and Ken started running together along a cross country track. When Ken completed the track in 27 minutes, Zara had run only
49 of the track. Zara’s average speed was 105 m/min slower than Ken’s.
- How long was the cross country track in m?
- Find Zara’s average speed in m/min.
(a)
When Ken completed the track:
Ken's distance = 9 u
Zara's distance = 4 u
Extra distance covered by Ken
= 9 u - 4 u
= 5 u
5 u = 105 x 27
5 u = 2835
1 u = 2835 ÷ 5 = 567
Distance of the cross country track
= 9 u
= 9 x 567
= 5103 m
(b)
Ken's speed
= 5103 ÷ 27
= 189 m/min
Zara's speed
= 189 - 105
= 84 m/min
Answer(s): (a) 5103 m; (b) 84 m/min