Abi and Howard started running together along a cross country track. When Howard completed the track in 32 minutes, Abi had run only
38 of the track. Abi’s average speed was 110 m/min slower than Howard’s.
- How long was the cross country track in m?
- Find Abi’s average speed in m/min.
(a)
When Howard completed the track:
Howard's distance = 8 u
Abi's distance = 3 u
Extra distance covered by Howard
= 8 u - 3 u
= 5 u
5 u = 110 x 32
5 u = 3520
1 u = 3520 ÷ 5 = 704
Distance of the cross country track
= 8 u
= 8 x 704
= 5632 m
(b)
Howard's speed
= 5632 ÷ 32
= 176 m/min
Abi's speed
= 176 - 110
= 66 m/min
Answer(s): (a) 5632 m; (b) 66 m/min