Ivory and Charlie started running together along a cross country track. When Charlie completed the track in 32 minutes, Ivory had run only
49 of the track. Ivory’s average speed was 110 m/min slower than Charlie’s.
- How long was the cross country track in m?
- Find Ivory’s average speed in m/min.
(a)
When Charlie completed the track:
Charlie's distance = 9 u
Ivory's distance = 4 u
Extra distance covered by Charlie
= 9 u - 4 u
= 5 u
5 u = 110 x 32
5 u = 3520
1 u = 3520 ÷ 5 = 704
Distance of the cross country track
= 9 u
= 9 x 704
= 6336 m
(b)
Charlie's speed
= 6336 ÷ 32
= 198 m/min
Ivory's speed
= 198 - 110
= 88 m/min
Answer(s): (a) 6336 m; (b) 88 m/min