Abi and Albert started running together along a cross country track. When Albert completed the track in 30 minutes, Abi had run only
59 of the track. Abi’s average speed was 104 m/min slower than Albert’s.
- How long was the cross country track in m?
- Find Abi’s average speed in m/min.
(a)
When Albert completed the track:
Albert's distance = 9 u
Abi's distance = 5 u
Extra distance covered by Albert
= 9 u - 5 u
= 4 u
4 u = 104 x 30
4 u = 3120
1 u = 3120 ÷ 4 = 780
Distance of the cross country track
= 9 u
= 9 x 780
= 7020 m
(b)
Albert's speed
= 7020 ÷ 30
= 234 m/min
Abi's speed
= 234 - 104
= 130 m/min
Answer(s): (a) 7020 m; (b) 130 m/min