Abi and Jeremy started running together along a cross country track. When Jeremy completed the track in 26 minutes, Abi had run only
38 of the track. Abi’s average speed was 115 m/min slower than Jeremy’s.
- How long was the cross country track in m?
- Find Abi’s average speed in m/min.
(a)
When Jeremy completed the track:
Jeremy's distance = 8 u
Abi's distance = 3 u
Extra distance covered by Jeremy
= 8 u - 3 u
= 5 u
5 u = 115 x 26
5 u = 2990
1 u = 2990 ÷ 5 = 598
Distance of the cross country track
= 8 u
= 8 x 598
= 4784 m
(b)
Jeremy's speed
= 4784 ÷ 26
= 184 m/min
Abi's speed
= 184 - 115
= 69 m/min
Answer(s): (a) 4784 m; (b) 69 m/min