Abi and Warren started running together along a cross country track. When Warren completed the track in 29 minutes, Abi had run only
37 of the track. Abi’s average speed was 96 m/min slower than Warren’s.
- How long was the cross country track in m?
- Find Abi’s average speed in m/min.
(a)
When Warren completed the track:
Warren's distance = 7 u
Abi's distance = 3 u
Extra distance covered by Warren
= 7 u - 3 u
= 4 u
4 u = 96 x 29
4 u = 2784
1 u = 2784 ÷ 4 = 696
Distance of the cross country track
= 7 u
= 7 x 696
= 4872 m
(b)
Warren's speed
= 4872 ÷ 29
= 168 m/min
Abi's speed
= 168 - 96
= 72 m/min
Answer(s): (a) 4872 m; (b) 72 m/min