Abi and Fabian started running together along a cross country track. When Fabian completed the track in 29 minutes, Abi had run only
47 of the track. Abi’s average speed was 114 m/min slower than Fabian’s.
- How long was the cross country track in m?
- Find Abi’s average speed in m/min.
(a)
When Fabian completed the track:
Fabian's distance = 7 u
Abi's distance = 4 u
Extra distance covered by Fabian
= 7 u - 4 u
= 3 u
3 u = 114 x 29
3 u = 3306
1 u = 3306 ÷ 3 = 1102
Distance of the cross country track
= 7 u
= 7 x 1102
= 7714 m
(b)
Fabian's speed
= 7714 ÷ 29
= 266 m/min
Abi's speed
= 266 - 114
= 152 m/min
Answer(s): (a) 7714 m; (b) 152 m/min