Abi and Zane started running together along a cross country track. When Zane completed the track in 26 minutes, Abi had run only
37 of the track. Abi’s average speed was 112 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 = 7 u
Abi's distance = 3 u
Extra distance covered by Zane
= 7 u - 3 u
= 4 u
4 u = 112 x 26
4 u = 2912
1 u = 2912 ÷ 4 = 728
Distance of the cross country track
= 7 u
= 7 x 728
= 5096 m
(b)
Zane's speed
= 5096 ÷ 26
= 196 m/min
Abi's speed
= 196 - 112
= 84 m/min
Answer(s): (a) 5096 m; (b) 84 m/min