Ivory and Ivan started running together along a cross country track. When Ivan completed the track in 22 minutes, Ivory had run only
49 of the track. Ivory’s average speed was 110 m/min slower than Ivan’s.
- How long was the cross country track in m?
- Find Ivory’s average speed in m/min.
(a)
When Ivan completed the track:
Ivan's distance = 9 u
Ivory's distance = 4 u
Extra distance covered by Ivan
= 9 u - 4 u
= 5 u
5 u = 110 x 22
5 u = 2420
1 u = 2420 ÷ 5 = 484
Distance of the cross country track
= 9 u
= 9 x 484
= 4356 m
(b)
Ivan's speed
= 4356 ÷ 22
= 198 m/min
Ivory's speed
= 198 - 110
= 88 m/min
Answer(s): (a) 4356 m; (b) 88 m/min