Abi and Zane started running together along a cross country track. When Zane completed the track in 36 minutes, Abi had run only
49 of the track. Abi’s average speed was 105 m/min slower than Zane’s.
- How long was the cross country track in m?
- Find Abi’s average speed in m/min.
(a)
When Zane completed the track:
Zane's distance = 9 u
Abi's distance = 4 u
Extra distance covered by Zane
= 9 u - 4 u
= 5 u
5 u = 105 x 36
5 u = 3780
1 u = 3780 ÷ 5 = 756
Distance of the cross country track
= 9 u
= 9 x 756
= 6804 m
(b)
Zane's speed
= 6804 ÷ 36
= 189 m/min
Abi's speed
= 189 - 105
= 84 m/min
Answer(s): (a) 6804 m; (b) 84 m/min